Cover of Pilar Cembranos, Jose Mendoza: Banach Spaces of Vector-Valued Functions

Pilar Cembranos, Jose Mendoza Banach Spaces of Vector-Valued Functions

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Springer Berlin Heidelberg

2006

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978-3-540-69639-1

3-540-69639-3

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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.

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