VOLUME 115 NUMBER 4 AUGUST 1992

WHOLE NUMBER 398

ProceedingsJL. OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYWilliam AdamsDale AlspachJ. Marshall AshAlbert Baernstein IIEric BedfordAndreas R. BlassAndrew M. BrucknerChristopher CrokeClifford J. Earle, Jr.,

Coordinating Editor forAnalysis and Operator Theory

Eric FriedlanderTheodore W. GamelinJames Glimm, Coordinating

Editor for AppliedMathematics, Probability,and Statistics

Roe GoodmanThomas GoodwillieLawrence GrayDennis A. HejhalPalle E. T. Jorgensen

Jeffry N. Kahn

Barbara Lee Keyfitz,Coordinating Editor for ODE,PDE, Global Analysis, andDynamical Systems

Irwin Kra, Managing Editor

Peter Li, Coordinating Editorfor Lie Groups, Topology,and Geometry

Wei Y. LohJoseph S. B. MitchellM. Susan Montgomery,

Coordinating Editor forAlgebra, Number Theory,and Combinatorics

Charles PughDavid SharpLance W. SmallHal L. SmithRonald M. SolomonRonald SternFranklin D. TallJohn Trangenstein

James West

PROVIDENCE. RHODE ISLAND USA

ISSN 0002-9939

Proceedings of the American Mathematical Society

This journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 114-116 (1992) are $508 list; $406institutional member; $305 individual member. A late charge of 10% of the subscrip-

tion price will be imposed upon orders received from nonmember after January 1 of the

subscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expedited

delivery to destinations in North America—$38; elsewhere—$90.

Back number information. For back issues see the AMS Catalogue of Publications.

Subscriptions and orders should be addressed to the American Mathematical Soci-

ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must be

accompanied by payment. Other correspondence should be addressed to P. O. Box 6248,

Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit libraries

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publication in reviews provided the customary acknowledgement of the source is given.Republication, systematic copying, or multiple reproduction of any material in this

publication (including abstracts) is permitted only under license from the American

Mathematical Society. Requests for such permission should be addressed to the Manager

of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI

02940-6248.The appearance of the code on the first page of an article in this journal indicates the

copyright owner's consent for copying beyond that permitted by Sections 107 or 108 of

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Proceedings of the American Mathematical Society is published monthly by the Amer-

ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-

class postage is paid at Providence, Rhode Island. Postmaster: Send address changes to

Proceedings, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-

6248.

Copyright © 1992 by the American Mathematical Society. All rights reserved.Printed in the United States of America.

The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability. @

This publication was typeset using A^-T^K,the American Mathematical Society's TgX macro system.

10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92

INDEX TO VOLUME 115•Starred items are "Shorter Notes."

Abraham, Uri and Bonnet, Robert. Every superatomic subalgebra of an interval algebra is embed-

dable in an ordinal algebra, 585.Akeroyd, John. Density of the polynomials in the Hardy space of certain slit domains, 1013.

Alemán, Alexandria. Hubert spaces of analytic functions between the Hardy and the Dirichlet space,

97.Ancel, Fredric D. and Guilbault, Craig R. An extension of Rourke's proof that Q-¡ = 0 to nonori-

entable manifolds, 283.Antal Balog and Carl Pomerance. The distribution of smooth numbers in arithmetic progressions,

33.Arias, Alvaro. All the infinite nest algebras are isomorphic, 85.

Atalla, Robert E. Regular matrices and P-sets in ßN\N. II, 141.

Babich, Amy. Scrawny Cantor sets are not definable by tori, 829.

Baker, John, Hindman, Neil, and Pym, John, k-topologies for right topological semigroups, 251.

Baldwin, Stewart. On the existence of invariant measures that behave like area, 89.

Baribeau, Line and Harbottle, Sarah. Twc new open mapping theorems for analytic multivalued

functions, 1009.Berkovich, Yakov, Chillag, David, and Marcel Herzog, Marcel. Finite groups in which the degrees

of the nonlinear irreducible characters are distinct, 955.

Bernau, S. J., Huijsmans, C. B., and De Pagter, B. Sums of lattice homomorphisms, 151.

Blasco, Oscar. A note on vector-valued Hardy and Paley inequalities, 787.

Bonnet, Robert. See Abraham, Uri

Boratynski, M. Locally complete intersection multiple structures on smooth algebraic curves, 877.

Brooks, Robin and Wong, Peter. On changing fixed points and coincidences to roots, 527.

Bruce, J. W., Ruas, M. A. S., and Saia, M. J. A note on determinacy, 865.

Brunner, A. M. A two-generator presentation for the Picard group, 45.

Bruns, Winfried. The Evans-Griffith syzygy theorem and Bass numbers, 939.

Burns, Keith. The flat strip theorem fails for surfaces with no conjugate points, 199.

Candeal-Haro, Juan Carlos and Indurain-Eraso, Esteban. Utility functions on partially ordered

topological groups, 765.

Chen, Liang and Li, Shihai. Shadowing property for inverse limit spaces, 573.

Chillag, David. See Berkovich, Yakov

Choda, Hisashi. A Galois type theorem in von Neumann algebras, 415.

Christy, Joe. Immersing branched surfaces in dimension three, 853.

Chung, Dong Myung and Hwang, Hong Taek. Cylinder functions in the Fresnel class of functionson abstract Wiener spaces, 381.

Cilleruelo, J. and Cordoba, A. Trigonometric polynomials and lattice points, 899.

Conder, Marston, Robertson, Edmund, and Williams, Peter. Presentations for 3-dimensional spe-

cial linear groups over integer rings, 19.

Connor, Jeff. R-type summability methods, Cauchy criteria, P-sets and statistical convergence, 319.

Cooper, S. Barry. A splitting theorem for the n-r.e. degrees, 461.

Corach, G., Porta, H., and Recht, L. A geometric interpretation of Segal's inequality \\ex+Y\\ <

\\ex'2eYex'2\\, 229.

Cordoba, A. See Cilleruelo, J.

Curzio, Mario, Longobardi, Patrizia, Maj, Mercede, and Rhemtulla, Akbar. Groups with many

rewritable products, 931.

De Pagter, B. See Bernau, S. J.

DeFranza, J. and Zeller, K. Matrix summability of unbounded sequences, 171.

Dekov, Deko V. The class of all S-pregroups is not finitely axiomatizable, 895.

Dobbs, David E. and Fontana, Marco. Integral overrings of two-dimensional going-down domains,

655.Driver, R. D., Ladas, G., and Vlahos, P. N. Asymptotic behavior of a linear delay difference equa-

tion, 105.

INDEX TO VOLUME 115

Duncan, Andrew J. and Howie, James. Weinbaum's conjecture on unique subwords of nonperiodic

words, 947.

Dvurecenskij, Anatolij. Finitely additive Gleason measures, 191.

Edelstein, Michael. On the indecomposability of compact convex sets, 137.

Egawa, Jiro. Eigenvalues of some almost periodic functions, 535.

Escauriaza, L., Fabes, E. B., and Verchota, G. On a regularity theorem for weak solutions to trans-

mission problems with internal Lipschitz boundaries, 1069.

Escauriaza, Luis. A note on Krylov-Tso's parabolic inequality, 1053.

Fabes, E. B. See Escauriaza, L.

Farsi, Carla. K-theoretical index theorems for good orbifolds, 769.

Faybusovich, Leonid. Toda flows and isospectral manifolds, 837.

Ferrando, J. C. and López-Pellicer, M. A note on a theorem of J. Diestel and B. Faires, 1077.

Filho, Augusto Reynol. Nilpotent spaces: some inequalities on nilpotency degrees, 501.

Fink, A. M. On Opial's inequality for f ("\ 177.Flapan, Erica and Weaver, Nikolai. Intrinsic chirality of complete graphs, 233.

Fonda, A. and Lazer, A. C. Subharmonic solutions of conservative systems with nonconvex poten-tials, 183.

Fontana, Marco. See Dobbs, David E.

Fujii, Masatoshi and Kamei, Eizaburo. Furuta 's

inequality and a generalization of Ando 's

theorem,

409.Gedeon, Tomás and Kuchta, Milan. Shadowing property of continuous maps, 271.

Gessel, Ira M. and Zeilberger, Doron. Random walk in a Weyl chamber, 27.

Gilmer, Robert and Heinzer, William. Zero-dimensionality in commutative rings, 881.

Gong, Weibang and Zhu, Jun. Strong-principal bimodules of nest algebras, 435.

González, Manuel and Gutiérrez, Joaquín M. Compact and weakly compact homomorphisms be-

tween algebras of differentiable functions, 1025.

Goulden, I. P. and Jackson, D. M. Immanants, Schur functions, and the MacMahon Master theo-

rem, 605.

Gowrisankaran, Kohur. Polydiscs and nontangential limits, 977.

Greenlees, J. P. C. and May, J. P. Some remarks on the structure of Mackey functors, 237.

Gudder, Stanley. A generalization of d'Alembert's functional equation, 419.

Guilbault, Craig R. See Ancel, Fredric D.

Gutiérrez, Joaquín M. See González, Manuel

Haagerup, Uffe and de la Harpe, Pierre. The numerical radius of a nilpotent operator on a Hilbert

space, 371.

Hanin, Leonid G. Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces,

345.Harbottle, Sarah. See Baribeau, Line

Harpe, Pierre de la. See Haagerup, Uffe

Hasselblatt, Boris. Bootstrapping regularity of the Anosov splitting, 817.

Haydon, Richard. Reflexivity of commutative subspace lattices, 1057.

Healey, Timothy J. and Kielhöfer, Hansjörg. Positivity of global branches of fully nonlinear elliptic

boundary value problems, 1031.Heinzer, William. See Gilmer, Robert

Henriquez, Hernán R. and Hernández, Eduardo A. On the abstract Cauchy problem in Fréchet

spaces, 353.Hernández, Eduardo A. See Henriquez, Hernán R.

Hieber, Matthias and Räbiger, Frank. A remark on the abstract Cauchy problem on spaces of Holder

continuous functions, 431.

Hindman, Neil. See Baker, John

Holte, Sarah E. An order theoretic characterization ofPeano continua, 1119.

Howie, James. See Duncan, Andrew J.

Huijsmans, C. B. See Bernau, S. J.

Hurley, Mike. Attractors in restricted cellular automata, 563.

Hurley, Mike. Noncompact chain recurrence and attraction, 1139.

Hwang, Hong Taek. See Chung, Dong Myung

Indurain-Eraso, Esteban. See Candeal-Haro, Juan Carlos

INDEX TO VOLUME 115

Ismail, Mourand E. H. and Li, Xin. Bound on the extreme zeros of orthogonal polynomials, 131.*Izzo, Alexander J. A functional analysis proof of the existence of haar measure on locally compact

abelian groups, 581.

Jackson, D. M. See Goulden, I. P.

del Junco, Andrés and Lemañczyk, Mariusz. Generic spectral properties of measure-preserving maps

and applications, 725.

Jungck, Gerald. Common fixed points for compatible maps on the unit interval, 495.

Kamei, Eizaburo. See Fujii, Masatoshi

Katsuura, Hidefumi. Pseudocontraction and homotopy of the sin(l/x) curve, 1129.

Keef, Patrick. A class of primary abelian groups characterized by its socles, 647.

Kellum, Kenneth R. and Rosen, Harvey. Compositions of continuous functions and connected func-tions, 145.

Kielhöfer, Hansjörg. See Healey, Timothy J.

Kikumasa, Isao and Nagahara, Takasi. Primitive elements of Galois extensions of finite fields, 593.

Ko, Ki Hyoung and Smolinsky, Lawrence. The framed braid group and 3-manifolds, 541.

Kocic, V. Lj. and Ladas, G. Global attractivity in nonlinear delay difference equations, 1083.

Krawczyk, Adam. On the Rosenthal compacta and analytic sets, 1095.

Kuchta, Milan. See Gedeon, Tomás

López-Pellicer, M. See Ferrando, J. C.

Labrousse, J-Ph. Inverses generalises d'operateurs non bornes, 125.

Ladas, G. See Kocic, V. Lj.

Ladas, G. See Driver, R. D.Laohakosol, Vichian. Dependence of arithmetic functions and Dirichlet series, 637.

Laquer, H. Turner. Invariant affine connections on symmetric spaces, 447.

Lassak, Marek. Approximation of convex bodies by triangles, 207.

Lazarus, Andrew J. Gaussian periods and units in certain cyclic fields, 961.

Lazer, A. C. See Fonda, A.

Lemañczyk, Mariusz. See del Junco, Andrés

Lewandowski, M., Ryznar, M., and Zak, T. Stable measure of a small ball, 489.

Li, Hui-Shi and Van Oystaeyen, Freddy. Dehomogenization ofgradings to Zariskian filtrations and

applications to invertible ideals, 1.

Li, Shihai. See Chen, Liang

Li, Shihai. Relations between chain recurrent points and turning points on the interval, 265.

Li, Xin. See Ismail, Mourand E. H.

Lin, Pei-Kee. Some remarks of drop property, 441.

Lipscomb, S. L. and Perry, J. C. Lipscomb's L(A) spacefractalized in Hubert's l2(A) space, 1157.

Liu, Zhong-dong. Ball covering on manifolds with nonnegative Ricci curvature near infinity, 211.

Lomonaco, Luciano. The iterated total squaring operation, 1149.

Lomonosov, Victor I. On real invariant subspaces of bounded operators with compact imaginary

part, 775.

Longobardi, Patrizia. See Curzio, Mario

Loveland, L. D. and Loveland, S. M. Equidistant sets in plane triodic continua, 553.

Loveland, S. M. See Loveland, L. D.

Ma, Xiaoyun and McOwen, Robert C. Complete conformai metrics with zero scalar curvature, 69.

Madan, Manohar and Rosen, Michael. The automorphism group of a function field, 923.

Maher, P. J. Commutator approximants, 995.

Maj, Mercede. See Curzio, Mario

Marcel Herzog, Marcel. See Berkovich, Yakov

Marciszewski, Witold. On properties of Rosenthal compacta, 797.

Martinez, Juan Carlos. A consistency result on thin-tall superatomic Boolean algebras, 473.

Martin, Mary B. and Zafrullah, M. t-linked overrings of Noetherian weakly factorial domains, 601.

Martsinkovsky, Alex. Free summands in maximal Cohen-Macaulay approximations and Eisenbud

operators over hypersurface rings, 915.

May, J. P. See Greenlees, J. P. C.

Mayer, J. C, Mohler, L. K., Oversteegen, L. G., and Tymchatyn, E. D. Characterization of sepa-

rable metric R-trees, 257.

McEachin, R. A sharp estimate in an operator inequality, 161.

INDEX TO VOLUME 115

McOwen, Robert C. See Ma, Xiaoyun

Mertens, Jean-Francois. Essential maps and manifolds, 513.

Mess, Geoffrey. A note on hyperelliptic curves, 849.

Miao, Tianxuan. The existence of left averaging functions that are not right averaging, 121.

Miller, Michael J. Continuous independence and the Ilieff-Sendov conjecture, 79.

Mohler, L. K. See Mayer, J. C.Molnár, Lajos. '-Representations of the trace-class of an H*-algebra, 167.

Murphy, Gerard J. The analytic rank of a C -algebra, 741.Nagahara, Takasi. See Kikumasa, Isao

Nakazi, Takahiko. Errata to "Norms

ofHankel operators on a bidisc", 873.

Nashier, Budh. Maximal ideals in Laurent polynomial rings, 907.

Navara, Mirko. Regularity and a-additivity of states on quantum logics, All.

Novak, Erich. Quadrature formulas for monotone functions, 59.

Ortega, Rafael. The first interval of stability of a periodic equation of Duffing type, 1061.

Oversteegen, L. G. See Mayer, J. C.

0yma, Knut. Harmonic measure and conformai length, 687.

Pan, Xingbin. Positive solutions of Au + K(x)up = 0 without decay conditions on K(x), 699.

Pandey, J. N. See Singh, O. P.Park, Chull and Skoug, David. Sample path-valued conditional Yeh- Wiener integrals and a Wiener

integral equation, 479.

Perry, J. C. See Lipscomb, S. L.

Phong, Vu Quôc. A short proof of the Y. Katznelson's and L. Tzafriri's theorem, 1023.

Phillips, Mark B. Dirichlet polyhedra for cyclic groups in complex hyperbolic space, 221.

Polácik, P. Imbedding of any vector field in a scalar semilinear parabolic equation, 1001.

Pomerance, Carl. See Balog, Antal

Porta, H. See Corach, G.Pym, John. See Baker, John

Qazi, M. A. On the maximum modulus of polynomials, 337.

Quanhua, Xu. Radon-Nikodym property in symmetric spaces of measurable operators, 329.

Räbiger, Frank. See Hieber, MatthiasRecht, L. See Corach, G.Renteria, Carlos and Villarreal, Rafael H. Koszul homology of Cohen-Macaulay rings with linear

resolutions, 51.Rhemtulla, Akbar. See Curzio, MarioRobertson, Edmund. See Conder, Marston

Robinson, P. L. Reduction of prequantized Mpc structures, 807.

Rodrigues, Claudina Izepe. l2-fixed sets of stationary point free Inactions, 821.

Rosen, Harvey. See Kellum, Kenneth R.

Rosen, Michael. See Madan, Manohar

Ross, David. Compact measures have Loeb preimages, 365.

Ruas, M. A. S. See Bruce, J. W.Ryznar, M. See Lewandowski, M.

Saia,M. J. See Bruce, J. W.

Saorin, M. Descending chain conditions for graded rings, 295.

Sarigöl, M. Ali. On absolute weighted mean summability methods, 157.

Scharlemann, Martin. Handlebody complements in the 3-sphere: A remark on a theorem of Fox,

1115.Schmidt, Sabina. Fixed points for discontinuous quasimonotone maps in sequence spaces, 361.*Shahgholian, Henrik. A characterization of the sphere in terms of single-layer potentials, 1167.

Shen, Yi-Bing. Curvature pinching for three-dimensional minimal submanifolds in a sphere, 791.

Singh, O. P. and Pandey, J. N. The Fourier-Bessel series representation of the pseudo-differentialoperator (-x-[D)", 969.

Skoug, David. See Park, Chull

Smith, Kirby C. and van Wyk, Leon. Semiendomorphisms of simple near-rings, 613.

Smolinsky, Lawrence. See Ko, Ki Hyoung

Spanoudakis, N. K. Generalizations of certain nest algebra results, 711.

Sulaiman, W. T. A study on a relation between two summability methods, 303.

Sulaiman, W. T. On some summability factors of infinite series, 313.

INDEX TO VOLUME 115

Takác, Peter. Linearly stable subharmonic orbits in strongly monotone time-periodic dynamical

systems, 691.Tam, Laying. Cesäro and general Euler-Borel summability, 1A1.

Tasaki, Hiroyuki and Umehara, Masaaki. An invariant on 3-dimensional Lie algebras, 293.

Taylor, Alan and Zwicker, William. A characterization of weighted voting, 1089.

Thomassen, Carsten. A characterization of the 1-sphere in terms of Jordan curve separation, 863.

Tomiuk, Bohdan J. Multipliers on complemented Banach algebras, 397.Tymchatyn, E. D. See Mayer, J. C.

Umehara, Masaaki. See Tasaki, Hiroyuki

Van Oystaeyen, Freddy. See Li, Hui-Shivan Wyk, Leon. See Smith, Kirby C.Vanderwerff, J. Smooth approximations in Banach spaces, 113.

Velebilová, Magdalena. Small congruences and concreteness, 13.

Verchota, G. See Escauriaza, L.

Vesely, Libor. A connectedness property of maximal monotone operators and its application to

approximation theory, 663.

Villarreal, Rafael H. See Renteria, Carlos

Vlahos, P. N. See Driver, R. D.Wang, James Li-Ming. Rational modules and Cauchy transforms, II, 405.

Weaver, Nikolai. See Flapan, Erica

Williams, Peter. See Conder, Marston

Wojtaszczyk, P. Some Remarks on the Daugavet Equation, 1047.

Wong, James S. W. Oscillation criteria for second order nonlinear differential equations with inte-

grable coefficients, 389.Wong, Peter. See Brooks, Robin

Wu, Ying-Qing. Essential laminations in surgered 3-manifolds, 245.

Xu, Xingwang. Prescribing a Ricci tensor in a conformai class ofRiemannian metrics, 455.

Yamada, Akira. Ahlfors functions on Denjoy domains, 757.

Yamamoto, Kazuhiro. The behavior of the analytically continued resolvent operator near k = 0

and an application to energy decay, 985.

Yamasaki, Masayuki. Errata to "Maps

between orbifolds", 875.

Yang, Chengmin. Projections P on C = C[-l, 1] which interpolate at dim(.P(C)) or more points,669.

Yanxia, Ren. Generalized first boundary value problem for Schrodinger equation, 1101.

Yicai, Zhao. A note on coherent rings of dimension two, 935.

Yicai, Zhao. A test theorem on coherent GCD domains, 47.

Yu, Lao Sen. Nonlinear p-Laplacian problems on unbounded domains, 1037.

Zafrullah, M. See Martin, Mary B.Zak, T. See Lewandowski, M.

Zeilberger, Doron. See Gessel, Ira M.

Zeller, K. See DeFranza, J.Zhang, Bo. On the retarded Liénard equation, 779.

Zhao, Shiying. On the weighted IP-integrability of nonnegative Jf -superharmonic functions, 611.

Zhu, Chen-Bo. A generic H-invariant in a multiplicity-free G-action, 629.

Zhu, Jun. See Gong, Weibang

Ziegler, Francois. On the Koslant convexity theorem, 1111.

Zwicker, William. See Taylor, Alan

VOLUME 115 1992

-VOEO

ProceedingsX. OF THE

AMERICAN MATHEMATICAL SOCIETY

EDITED BYWilliam AdamsDale AlspachJ. Marshall AshAlbert Baernstein IIEric BedfordAndreas R. BlassAndrew M. BrucknerChristopher CrokeClifford J. Earle, Jr.,

Coordinating Editor forAnalysis and Operator Theory

Eric FriedlanderTheodore W. GamelinJames Glimm, Coordinating

Editor for AppliedMathematics, Probability,and Statistics

Roe GoodmanThomas GoodwillieLawrence GrayDennis A. Hejhal

Palle E. T. JorgensenJeffry N. Kahn

Barbara Lee Keyfitz,

Coordinating Editor for ODE,

PDE, Global Analysis, and

Dynamical Systems

Irwin Kra, Managing Editor

Peter Li, Coordinating Editor

for Lie Groups, Topology,

and GeometryWei Y. LohJoseph S. B. MitchellM. Susan Montgomery,

Coordinating Editor for

Algebra, Number Theory,

and CombinatoricsCharles PughDavid SharpLance W. SmallHal L. SmithRonald M. SolomonRonald SternFranklin D. Tall

John Trangenstein

James West

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

Proceedings of the American Mathematical Society

This journal is devoted entirely to research in pure and applied mathematics.

Subscription information. Proceedings of the American Mathematical Society is pub-lished monthly. Subscription prices for Volumes 114-116 (1992) are $508 list; $406institutional member; $305 individual member. A late charge of 10% of the subscrip-

tion price will be imposed upon orders received from nonmember after January 1 of the

subscription year. Subscribers outside the United States and India must pay a postagesurcharge of $25; subscribers in India must pay a postage surcharge of $38. Expedited

delivery to destinations in North America—$38; elsewhere—$90.

Back number information. For back issues see the AMS Catalogue of Publications.

Subscriptions and orders should be addressed to the American Mathematical Soci-

ety, P.O. Box 1571, Annex Station, Providence, RI 02901-1571. All orders must beaccompanied by payment. Other correspondence should be addressed to P. O. Box 6248,

Providence, RI 02940-6248.

Copying and reprinting. Individual readers of this publication, and nonprofit libraries

acting for them, are permitted to make fair use of the material, such as to copy an article

for use in teaching or research. Permission is granted to quote brief passages from this

publication in reviews provided the customary acknowledgement of the source is given.Republication, systematic copying, or multiple reproduction of any material in this

publication (including abstracts) is permitted only under license from the American

Mathematical Society. Requests for such permission should be addressed to the Manager

of Editorial Services, American Mathematical Society, P. O. Box 6248, Providence, RI

02940-6248.The appearance of the code on the first page of an article in this journal indicates the

copyright owner's consent for copying beyond that permitted by Sections 107 or 108 of

the U.S. Copyright Law, provided that a fee of $1.00 plus $.25 per page for each copy

be paid directly to the Copyright Clearance Center, Inc., 27 Congress Street, Salem, MA

01970. This consent does not extend to other kinds of copying, such as copying for

general distribution, for advertising or promotion purposes, for creating new collective

works, or for resale.

Proceedings of the American Mathematical Society is published monthly by the Amer-

ican Mathematical Society at 201 Charles Street, Providence, RI 02904-2213. Second-

class postage is paid at Providence, Rhode Island. Postmaster: Send address changes to

Proceedings, American Mathematical Society, P.O. Box 6248, Providence, RI 02940-

Copyright ©1992 by the American Mathematical Society. All rights reserved.

Printed in the United States of America.

The paper used in this book is acid-free and falls within the guidelinesestablished to ensure permanence and durability. ©

This publication was typeset using Ak^-T^X,

the American Mathematical Society's Tf?X macro system.

10 9 8 7 6 5 4 3 2 1 97 96 95 94 93 92

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 115, No. 1 May 1992 Whole No. 395

A. ALGEBRA AND NUMBER THEORY

Dehomogenization of gradings to Zariskian nitrations and applications to invertible ideals.

By Hui-Shi Li and Freddy Van Oystaeyen. 1

Small congruences and concreteness. By Magdalena Velebilová. 13

Presentations for 3-dimensional special linear groups over integer rings. By Marston

Conder, Edmund Robertson, and Peter Williams. 19

Random walk in a Weyl chamber. By Ira M. Gessel and Doron Zeilberger. 27

The distribution of smooth numbers in arithmetic progressions. By Antal Balog and

Carl Pomerance. 33

A two-generator presentation for the Picard group. By A. M. Brunner. 45

A test theorem on coherent GCD domains. By Zhao Yicai. 47

Koszul homology of Cohen-Macaulay rings with linear resolutions. By Carlos Rentería

and Rafael H. Villarreal. 51

B. ANALYSIS

Quadrature formulas for monotone functions. By Erich Novak. 59

Complete conformai metrics with zero scalar curvature. By Xiaoyun Ma and Robert C.

McOwen . 69

Continuous independence and the Ilieff-Sendov conjecture. By Michael J. Miller .... 79

All the infinite nest algebras are isomorphic. By Alvaro Arias . 85

On the existence of invariant measures that behave like area. By Stewart Baldwin ... 89

Hubert spaces of analytic functions between the Hardy and the Dirichlet space. By

Alexandru Alemán. 97

Asymptotic behavior of a linear delay difference equation. By R. D. Driver, G. Ladas,

and P. N. Vlahos. 105

Smooth approximations in Banach spaces. By J. Vanderwerff. 113

The existence of left averaging functions that are not right averaging. By Tianxuan Miao 121

Inverses generalises d'operateurs non bornes. By J-Ph. Labrousse. 125

Bound on the extreme zeros of orthogonal polynomials. By Mourand E. H. Ismail and

Xin Li. 131

Regular matrices and P-sets in ßN\N. II. By Robert E. Atalla. 141

Compositions of continuous functions and connected functions. By Kenneth R. Kellum

and Harvey Rosen. 145

Sums of lattice homomorphisms. By S. J. Bernau, C. B. Huijsmans, and B. De Pagter 151

On absolute weighted mean summability methods. By M. Ali Sarigöl. 157

A sharp estimate in an operator inequality. By R. McEachin. 161•-Representations of the trace-class of an H*-algebra. By Lajos Molnár. 167

Matrix summability of unbounded sequences. By J. DeFranza and K. Zeller. 171

On Opial's inequality for /<"). By A. M. Fink. 177

Subharmonic solutions of conservative systems with nonconvex potentials. By A. Fonda

and A. C. Lazer. 183

C. APPLIED MATHEMATICS

Finitely additive Gleason measures. By Anatolij Dvurecenskij. 191

D. GEOMETRY

The flat strip theorem fails for surfaces with no conjugate points. By Keith Burns .... 199

Approximation of convex bodies by triangles. By Marek Lassak. 207

Ball covering on manifolds with nonnegative Ricci curvature near infinity. By Zhong-

dong Liu. 211

Dirichlet polyhedra for cyclic groups in complex hyperbolic space. By Mark B. Phillips 221

A geometric interpretation of Segal's inequality ||e*,r+r|| < \\exl2eYexl2\\. By G. Corach,

H. Porta, and L. Recht. 229

G. TOPOLOGY

Intrinsic chirality of complete graphs. By Erica Flapan and Nikolai Weaver. 233

Some remarks on the structure of Mackey functors. By J. P. C. Greenlees and J. P. May 237

Essential laminations in surgered 3-manifolds. By Ying-Qing Wu. 245

k-topologies for right topological semigroups. By John Baker, Neil Hindman, and John

Pym. 251

Characterization of separable metric R-trees. By J. C. Mayer, L. K. Mohler, L. G.

Oversteegen, and E. D. Tymchatyn. 257

Relations between chain recurrent points and turning points on the interval. By Shihai Li 265

Shadowing property of continuous maps. By Tomás Gedeon and Milan Kuchta .... 271

An extension of Rourke's proof that íí3 = 0 to nonorientable manifolds. By Fredric D.

Ancel and Craig R. Guilbault. 283

Vol. 115, No. 2 June 1992 Whole No. 396

A. ALGEBRA AND NUMBER THEORY

An invariant on 3-dimensional Lie algebras. By Hiroyuki Tasaki and Masaaki Umehara 293

Descending chain conditions for graded rings. By M. Saorín. 295

B. ANALYSIS

A study on a relation between two summability methods. By W. T. Sulaiman . 303

On some summability factors of infinite series. By W. T. Sulaiman. 313

.R-type summability methods, Cauchy criteria, P-sets and statistical convergence. By Jeff

Connor. 319

Radon-Nikodym property in symmetric spaces of measurable operators. By Xu Quanhua 329

On the maximum modulus of polynomials. By M. A. Qazi. 337

Kantorovich-Rubinstein norm and its application in the theory of Lipschitz spaces. By

Leonid G. Hanin. 345

On the abstract Cauchy problem in Fréchet spaces. By Hernán R. Henriquez and Eduardo

A. Hernández. 353

Fixed points for discontinuous quasimonotone maps in sequence spaces. By Sabina

Schmidt. 361

Compact measures have Loeb preimages. By David Ross . 365

The numerical radius of a nilpotent operator on a Hubert space. By Uffe Haagerup and

Pierre de la Harpe. 371

Cylinder functions in the Fresnel class of functions on abstract Wiener spaces. By Dong

Myung Chung and Hong Taek Hwang. 381

Oscillation criteria for second order nonlinear differential equations with integrable coeffi-

cients. By James S. W. Wong. 389

Multipliers on complemented Banach algebras. By Bohdan J. Tomiuk. 397

Rational modules and Cauchy transforms, II. By James Li-Ming Wang. 405

Furuta's inequality and a generalization of Ando's theorem. By Masatoshi Fujii and

Eizaburo Kamei. 409

A Galois type theorem in von Neumann algebras. By Hisashi Choda. 415

A generalization of d'Alembert's functional equation. By Stanley Gudder. 419

Regularity and tr-additivity of states on quantum logics. By Mirko Navara. 427

A remark on the abstract Cauchy problem on spaces of Holder continuous functions. By

Matthias Hieber and Frank Räbiger. 431

Strong-principal bimodules of nest algebras. By Weibang Gong and Jun Zhu. 435

Some remarks of drop property. By Pei-Kee Lin. 441

D. GEOMETRY

Invariant affine connections on symmetric spaces. By H. Turner Laquer . 447

Prescribing a Ricci tensor in a conformai class of Riemannian metrics. By Xingwang Xu 455

E. LOGIC AND FOUNDATIONS

A splitting theorem for the n-r.e. degrees. By S. Barry Cooper. 461

A consistency result on thin-tall superatomic Boolean algebras. By Juan Carlos

Martínez. 473

F. STATISTICS AND PROBABILITY

Sample path-valued conditional Yeh-Wiener integrals and a Wiener integral equation. By

Chull Park and David Skoug. 479

Stable measure of a small ball. By M. Lewandowski, M. Ryznar, and T. Zak. 489

G TOPOLOGY

Common fixed points for compatible maps on the unit interval. By Gerald Jungck . . 495

Nilpotent spaces: some inequalities on nilpotency degrees. By Augusto Reynol Filho 501

Essential maps and manifolds. By Jean-Francois Mertens . 513

On changing fixed points and coincidences to roots. By Robin Brooks and Peter Wong 527

Eigenvalues of some almost periodic functions. By Jirô Egawa. 535

The framed braid group and 3-manifolds. By Ki H young Ko and Lawrence Smolinsky 541

Equidistant sets in plane triodic continua. By L. D. Loveland and S. M. Loveland . . . 553

Attractors in restricted cellular automata. By Mike Hurley. 563

Shadowing property for inverse limit spaces. By Liang Chen and Shihai Li. 573

SHORTER NOTES

A functional analysis proof of the existence of haar measure on locally compact abelian

groups. By Alexander J. Izzo. 581

Vol. 115, No. 3 July 1992 Whole No. 397

A. ALGEBRA AND NUMBER THEORY

Every superatomic subalgebra of an interval algebra is embeddable in an ordinal algebra.

By Uri Abraham and Robert Bonnet. 585

Primitive elements of Galois extensions of finite fields. By Isao Kikumasa and Takasi

Nagahara. 593

Z-linked overlings of Noetherian weakly factorial domains. By Mary B. Martin and M.

Zafrullah. 601

Immanants, Schur functions, and the MacMahon Master theorem. By I. P. Goulden and

D. M. Jackson. 605

Semiendomorphisms of simple near-rings. By Kirby C. Smith and Leon van Wyk ... 613

A generic //-invariant in a multiplicity-free ¿/-action. By Chen-Bo Zhu. 629

Dependence of arithmetic functions and Dirichlet series. By Vichian Laohakosol .... 637

A class of primary abelian groups characterized by its socles. By Patrick Keef. 647

Integral overlings of two-dimensional going-down domains. By David E. Dobbs and Marco

Fontana . 655

B. ANALYSIS

A connectedness property of maximal monotone operators and its application to approxima-

tion theory. By Libor Vesely. 663

Projections P on C = C[-l, 1] which interpolate at dim(.P(C)) or more points. ByCHENGMiN

Yang. 669

On the weighted //-integrability of nonnegative ^f-superharmonic functions. By Shiying

Zhao . 677

Harmonic measure and conformai length. By Knut 0yma. 687

Linearly stable subharmonic orbits in strongly monotone time-periodic dynamical systems.

By Peter Takác. 691

Positive solutions of Au + K(x)up = 0 without decay conditions on K{x). By Xingbin

Pan . 699

Generalizations of certain nest algebra results. By N. K. Spanoudakis. 711

Generic spectral properties of measure-preserving maps and applications. By Andrés del

Junco and Mariusz Lemañczyk. 725

On the indecomposability of compact convex sets. By Michael Edelstein. 737

The analytic rank of a C*-algebra. By Gerard J. Murphy . 741

Cesàro and general Euler-Borel summability. By Laying Tam . 747

Ahlfors functions on Denjoy domains. By Akira Yamada. 757

Utility functions on partially ordered topological groups. By Juan Carlos Candeal-

Haro and Esteban Indurain-Eraso. 765

AT-theoretical index theorems for good orbifolds. By Carla Farsi. 769

On real invariant subspaces of bounded operators with compact imaginary part. By Victor

I. Lomonosov. 775

On the retarded Liénard equation. By Bo Zhang. 779

A note on vector-valued Hardy and Paley inequalities. By Oscar Blasco. 787

D. GEOMETRY

Curvature pinching for three-dimensional minimal submanifolds in a sphere. By Yi-Bing

Shen. 791

G. TOPOLOGY

On properties of Rosenthal compacta. By Witold Marciszewski. 797

Reduction of prequantized Mpc structures. By P. L. Robinson . 807

Bootstrapping regularity of the Anosov splitting. By Boris Hasselblatt. 817

Z2-fixed sets of stationary point free Z4-actions. By Claudina Izepe Rodrigues. 821

Scrawny Cantor sets are not definable by tori. By Amy Babich. 829

Toda flows and isospectral manifolds. By Leonid Faybusovich. 837

A note on hyperelliptic curves. By Geoffrey Mess. 849

Immersing branched surfaces in dimension three. By Joe Christy. 853

A characterization of the 2-sphere in terms of Jordan curve separation. By Carsten

Thomassen. 863

A note on determinacy. By J. W. Bruce, M. A. S. Ruas, and M. J. Saia. 865

Errata to "Norms

of Hankel operators on a bidisc". By Takahiko Nakazi. 873

Errata to "Maps between orbifolds". By Masayuki Yamasaki. 875

Vol. 115, No. 4 August 1992 Whole No. 398

A. ALGEBRA AND NUMBER THEORY

Locally complete intersection multiple structures on smooth algebraic curves. By M.

BORATYNSKI. 877

Zero-dimensionality in commutative rings. By Robert Gilmer and William Heinzer . 881

The class of all S-pregroups is not finitely axiomatizable. By Deko V. Dekov. 895

Trigonometric polynomials and lattice points. By J. Cilleruelo and A. Cordoba .... 899

Maximal ideals in Laurent polynomial rings. By Budh Nashier. 907

Free summands in maximal Cohen-Macaulay approximations and Eisenbud operators over

hypersurface rings. By Alex Martsinkovsky. 915

The automorphism group of a function field. By Manohar Mad an and Michael Rosen 923

Groups with many rewritable products. By Mario Curzio, Patrizia Longobardi, Mercede

Maj, and Akbar Rhemtulla . 931

A note on coherent rings of dimension two. By Zhao Yicai. 935

The Evans-Griffith syzygy theorem and Bass numbers. By Winfried Bruns. 939

Weinbaum's conjecture on unique subwords of nonperiodic words. By Andrew J. Duncan

and James Howie. 947

Finite groups in which the degrees of the nonlinear irreducible characters are distinct. By

Yakov Berkovich, David Chillag, and Marcel Herzog. 955

Gaussian periods and units in certain cyclic fields. By Andrew J. Lazarus. 961

B. ANALYSIS

The Fourier-Bessel series representation of the pseudo-differential operator (—x~ ' D)u. By

O. P. Singh and J. N. Pandey. 969

Polydiscs and nontangential limits. By Kohur Gowrisankaran. 977

The behavior of the analytically continued resolvent operator near k = 0 and an application

to energy decay. By Kazuhiro Yamamoto. 985

Commutator approximants. By P. J. Maher. 995

Imbedding of any vector field in a scalar semilinear parabolic equation. By P. PoláCik . 1001

Two new open mapping theorems for analytic multivalued functions. By Line Baribeau

and Sarah Harbottle. 1009

Density of the polynomials in the Hardy space of certain slit domains. By John Akeroyd 1013

A short proof of the Y. Katznelson's and L. Tzafriri's theorem. By Vu Quôc Phóng .. 1023

Compact and weakly compact homomorphisms between algebras of differentiable functions.

By Manuel González and Joaquín M. Gutiérrez. 1025

Positivity of global branches of fully nonlinear elliptic boundary value problems. By Timothy

J. Healey and Hansjörg Kielhöfer . 1031

Nonlinear p-Laplacian problems on unbounded domains. By Lao Sen Yu . 1037

Some Remarks on the Daugavet Equation. By P. Wojtaszczyk. 1047

A note on Krylov-Tso's parabolic inequality. By Luis Escauriaza. 1053

Reflexivity of commutative subspace lattices. By Richard Haydon. 1057

The first interval of stability of a periodic equation of Duffing type. By Rafael Ortega 1061

On a regularity theorem for weak solutions to transmission problems with internal Lipschitz

boundaries. By L. Escauriaza, E. B. Fabes, and G Verchota. 1069

A note on a theorem of J. Diestel and B. Faires. By J. C. Ferrando and M. López-

Pellicer. 1077

Global attractivity in nonlinear delay difference equations. By V. Lj. Kocic and G. Ladas 1083

C. APPLIED MATHEMATICS

A characterization of weighted voting. By Alan Taylor and William Zwicker. 1089

E. LOGIC AND FOUNDATIONS

On the Rosenthal compacta and analytic sets. By Adam Krawczyk. 1095

F. STATISTICS AND PROBABILITY

Generalized first boundary value problem for Schrödinger equation. By Ren Yanxia .. 1101

G. TOPOLOGY

On the Kostant convexity theorem. By Francois Ziegler. 1111

Handlebody complements in the 3-sphere: A remark on a theorem of Fox. By Martin

Scharlemann. 1115

An order theoretic characterization of Peano continua. By Sarah E. Holte. 1119

Pseudocontraction and homotopy of the sin(l/x) curve. By Hidefumi Katsuura. 1129

Noncompact chain recurrence and attraction. By Mike Hurley. 1139

The iterated total squaring operation. By Luciano Lomonaco. 1149

Lipscomb's L(A) space fractalized in Hubert's l2(A) space. By S. L. Lipscomb and J. C.

Perry. 1157

SHORTER NOTES

A characterization of the sphere in terms of single-layer potentials. By Henrik

Shahgholian. 1167

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Managing Editor: Irwin Kra, SUNY at Stony Brook, Stony Brook, NY 11794-3651email: irwin@math.sunysb.edu

1. ODE, PDE, GLOBAL ANALYSIS, AND DYNAMICAL SYSTEMSCoordinating Editor : Barbara Lee Keyfitz, University of Houston, Houston, TX 77204-3476email: keyfitz@uh.edu

Partial differential equationsBarbara Lee Keyfitz

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2. LIE GROUPS, TOPOLOGY, AND GEOMETRYCoordinating Editor : Peter Li, University of California, Irvine, CA 9271email: pli@orion.oac.uci.edu

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Real analysisAndrew Bruckner

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Harmonic and general analysisJ. Marshall AshDePaul UniversityChicago, IL 60614email: MATJMA@DEPAUL.BITNET

Analytic number theory and automorphic forms

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Dennis A. HejhalSchool of MathematicsUniversity of MinnesotaMinneapolis, MN 55455email: mfl0402@uc.msc.umn.edu

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at Stony Brook, Stony Brook, NY 11794-3600email: glimm@ams.sunysb.edu

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Applied mathematicsDavid SharpTheoretic DivisionLos Alamos National Laboratory MSB285Los Alamos, NM 87545email:dhs@lanl.govorJohn TrangensteinDuke UniversityDurham, NC 27706email: johnt@math.duke.edu

Operations researchJoseph S. B. MitchellDepartment of Applied Mathematics

and StatisticsSUNY at Stony BrookStony Brook, NY 11794-3600email: jsbm@ams.sunysb.edu

CONTENTS—Continued from back cover

C. APPLIED MATHEMATICS

A characterization of weighted voting. By Alan Taylor and William Zwicker. 1089

E. LOGIC AND FOUNDATIONS

On the Rosenthal compacta and analytic sets. By Adam Krawczyk. 1095

F. STATISTICS AND PROBABILITY

Generalized first boundary value problem for Schrödinger equation. By Ren Yanxia . . 1101

G. TOPOLOGY

On the Kostant convexity theorem. By Francois Ziegler. 1111

Handlebody complements in the 3-sphere: A remark on a theorem of Fox. By Martin

Scharlemann. 1115

An order theoretic characterization of Peano continua. By Sarah E. Holte. 1119

Pseudocontraction and homotopy of the sin( \/x) curve. By Hidefumi Katsuura. 1129

Noncompact chain recurrence and attraction. By Mike Hurley. 1139

The iterated total squaring operation. By Luciano Lomonaco. 1149

Lipscomb's L(A) space fractalized in Hubert's I2(A) space. By S. L. Lipscomb and J. C.

Perry. 1157

SHORTER NOTES

A characterization of the sphere in terms of single-layer potentials. By Henrik

Shahgholian. 1167

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 115, No. 4 August 1992 Whole No. 398

A. ALGEBRA AND NUMBER THEORY

Locally complete intersection multiple structures on smooth algebraic curves. By M.

BORATYNSKI. 877

Zero-dimensionality in commutative rings. By Robert Gilmer and William Heinzer . 881

The class of all 5-pregroups is not finitely axiomatizable. By Deko V. Dekov. 895

Trigonometric polynomials and lattice points. By J. Cilleruelo and A. Cordoba .... 899

Maximal ideals in Laurent polynomial rings. By Budh Nashier. 907

Free summands in maximal Cohen-Macaulay approximations and Eisenbud operators over

hypersurface rings. By Alex Martsinkovsky. 915

The automorphism group of a function field. By Manohar Madan and Michael Rosen 923

Groups with many rewritable products. By Mario Curzio, Patrizia Longobardi, Mercede

Maj, and Akbar Rhemtulla . 931

A note on coherent rings of dimension two. By Zhao Yicai. 935

The Evans-Griffith syzygy theorem and Bass numbers. By Winfried Bruns. 939

Weinbaum's conjecture on unique subwords of nonperiodic words. By Andrew J. Duncan

and James Howie. 947

Finite groups in which the degrees of the nonlinear irreducible characters are distinct. By

Yakov Berkovich, David Chillag, and Marcel Herzog. 955

Gaussian periods and units in certain cyclic fields. By Andrew J. Lazarus. 961

B. ANALYSIS

The Fourier-Bessel series representation of the pseudo-differential operator (—x~lD)". By

O. P. Singh and J. N. Pandey. 969

Polydiscs and nontangential limits. By Kohur Gowrisankaran. 977

The behavior of the analytically continued resolvent operator near k = 0 and an application

to energy decay. By Kazuhiro Yamamoto. 985

Commutator approximants. By P. J. Maher. 995

Imbedding of any vector field in a scalar semilinear parabolic equation. By P. Polácik . 1001

Two new open mapping theorems for analytic multivalued functions. By Line Baribeau

and Sarah Harbottle. 1009

Density of the polynomials in the Hardy space of certain slit domains. By John Akeroyd 1013

A short proof of the Y. Katznelson's and L. Tzafriri's theorem. By Vu Quôc Phóng . . 1023

Compact and weakly compact homomorphisms between algebras of differentiable functions.

By Manuel González and Joaquín M. Gutiérrez. 1025

Positivity of global branches of fully nonlinear elliptic boundary value problems. By Timothy

J. Healey and Hansjörg Kielhöfer . 1031

Nonlinear p-Laplacian problems on unbounded domains. By Lao Sen Yu . 1037

Some Remarks on the Daugavet Equation. By P. Wojtaszczyk. 1047

A note on Krylov-Tso's parabolic inequality. By Luis Escauriaza. 1053

Reflexivity of commutative subspace lattices. By Richard Haydon. 1057

The first interval of stability of a periodic equation of Duffing type. By Rafael Ortega 1061

On a regularity theorem for weak solutions to transmission problems with internal Lipschitz

boundaries. By L. Escauriaza, E. B. Fabes, and G. Verchota. 1069

A note on a theorem of J. Diestel and B. Faires. By J. C. Ferrando and M. López-

Pellicer. 1077

Global attractivity in nonlinear delay difference equations. By V. Lj. KociC and G. Ladas 1083

Continued on inside back cover