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Vector valued functions --- Algebra [Boolean ] --- Operator algebras

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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.

Functional analysis --- Banach [Espaces de ] --- Banach [Ruimten van ] --- Banach spaces --- Functions [Vector ] --- Functions [Vector valued ] --- Vector valued functions --- Banach spaces. --- Vector valued functions. --- Mathematical Theory --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Espaces fonctionnels --- Fonctions vectorielles --- Function spaces --- Functional analysis. --- Operator theory. --- Functional Analysis. --- Operator Theory. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations