Banach Spaces of Vector-Valued Functions / Edition 1

by Pilar Cembranos, Jose Mendoza

Overview

"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.