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AuthorCembranos, Pilar. author
TitleBanach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, Josรฉ Mendoza
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect tohttp://dx.doi.org/10.1007/BFb0096765
Descript VIII, 120 p. online resource

SUMMARY

"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory


CONTENT

Preliminaries -- Copies of c 0 and ?1 in L p (?, X) -- C(K, X) spaces -- L p (?, X) spaces -- The space L ?(?, X) -- Tabulation of results -- Some related open problems


Mathematics Functional analysis Operator theory Mathematics Functional Analysis Operator Theory



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