Title: Banach spaces of vector-valued functions
First published: 1997
Description: "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.
Subjects: Vector valued functions, Banach spaces, Functional analysis, Operator theory, Mathematics
LC classification: QA3 .L28 no. 1676, QA322.2 .L28 no. 1676