"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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978-3-540-69639-1 (9783540696391)
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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.
