Banach Spaces of Vector-Valued Functions [electronic resource] / by Pilar Cembranos, José Mendoza.

By: Cembranos, Pilar [author.]Contributor(s): Mendoza, José [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1676Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997Description: VIII, 120 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540696391Subject(s): Mathematics | Functional analysis | Mathematics | Functional AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 515.7 LOC classification: QA319-329.9Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: "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.
Item type: E-BOOKS
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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.

"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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