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

By:

Cembranos, Pilar [author.]

Contributor(s):

Material type: Text

TextSeries: Lecture Notes in Mathematics ; 1676Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997Description: VIII, 120 p. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783540696391

Subject(s):

Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:

515.7 23

LOC classification:

QA319-329.9

Online 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.

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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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