Banach Spaces of Vector-Valued Functions [electronic resource] /
"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.
Main Authors: | , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1997
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Subjects: | Mathematics., Functional analysis., Operator theory., Functional Analysis., Operator Theory., |
Online Access: | http://dx.doi.org/10.1007/BFb0096765 |
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Summary: | "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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