1.

Record Nr.

UNINA9910146295303321

Autore

Cembranos Pilar <1957->

Titolo

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

Pubbl/distr/stampa

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

ISBN

3-540-69639-3

Edizione

[1st ed. 1997.]

Descrizione fisica

1 online resource (VIII, 120 p.)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 1676

Classificazione

46E40

Disciplina

515/.732

Soggetti

Functional analysis

Operator theory

Functional Analysis

Operator Theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

"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.