Editorial Geometry of Function Spacesdownloads.hindawi.com/journals/jfs/2013/636025.pdfIn recent years the use of the techniques from the geometric theory of Banach spaces in the study

Hindawi Publishing CorporationJournal of Function Spaces and ApplicationsVolume 2013, Article ID 636025, 1 pagehttp://dx.doi.org/10.1155/2013/636025

EditorialGeometry of Function Spaces

T. S. S. R. K. Rao,1 Henryk Hudzik,2 and Miguel Martin3

1 Indian Statistical Institute, Bangalore 560059, India2Department of Function Spaces Theory, Faculty of Mathematics and Computer Science, Adam Mickiewicz University,61-712 Poznan, Poland

3Departamento de Analisis Matematico, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Correspondence should be addressed to T. S. S. R. K. Rao; [email protected]

Received 10 December 2013; Accepted 10 December 2013

Copyright © 2013 T. S. S. R. K. Rao et al. This is an open access article distributed under the Creative Commons AttributionLicense, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properlycited.

In recent years the use of the techniques from the geometrictheory of Banach spaces in the study of function spaces hasbecome an important tool and we are happy that this specialissue has received the attention of both senior and youngresearchers in these areas.

We have received papers from a wide cross-section ofresearchers in this area, covering existence theorems con-cerning the convolution of functions, distributions, and ultra-distributions of Beurling type with supports satisfying suit-able compatibility conditions and the Rayleigh equation oftwo deviating arguments. Application of the Leray-Schauderindex theorem and the Leray-Schauder fixed point theoremtowards the existence of nontrivial periodic solutions ofthis type of equations is covered. Also covered is smoothapproximation of Lipschitz functions on Finsler manifolds,keeping control on the corresponding Lipschitz constants. Anarticle that extends the usual notion ofKothe dual of a Banachfunction space to a broad class of Banach lattices is also in thiscollection.

On abstract Banach space theory, there is an article thatstudies a weakening of the notion of central subspace of aBanach space, as well as an article that studies notions ofgeneralized approximation properties.

Acknowledgment

The editors thank all the contributors and colleagues whospared time and were prompt in refereeing work.

T. S. S. R. K. RaoHenryk HudzikMiguel Martin

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Editorial Geometry of Function Spacesdownloads.hindawi.com/journals/jfs/2013/636025.pdfIn recent years the use of the techniques from the geometric theory of Banach spaces in the study