Banach Spaces of Vector-Valued Functions / by Pilar Cembranos, José Mendoza.

Format:

Book

Author/Creator:

Cembranos, Pilar, 1957- author.

Mendoza, José, 1957- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1676.

Lecture Notes in Mathematics, 0075-8434 ; 1676

Language:

English

Subjects (All):

Functional analysis.

Operator theory.

Functional Analysis.

Operator Theory.

Local Subjects:

Functional Analysis.

Operator Theory.

Physical Description:

1 online resource (VIII, 120 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.

System Details:

text file PDF

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.

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.

Other Format:

Printed edition:

ISBN:

9783540696391

Access Restriction:

Restricted for use by site license.