Pub. Date:
Springer Berlin Heidelberg
Banach Spaces of Vector-Valued Functions / Edition 1

Banach Spaces of Vector-Valued Functions / Edition 1

by Pilar Cembranos, Jose Mendoza


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"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.

Product Details

ISBN-13: 9783540637455
Publisher: Springer Berlin Heidelberg
Publication date: 12/09/1997
Series: Lecture Notes in Mathematics , #1676
Edition description: 1997
Pages: 120
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

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.

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