
Banach Spaces of Vector-Valued Functions
Springer (Publisher)
Published on 27. November 1997
Book
Paperback/Softback
VIII, 120 pages
978-3-540-63745-5 (ISBN)
Description
"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.
More details
Series
Edition
1997 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 120 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 8 mm
Weight
207 gr
ISBN-13
978-3-540-63745-5 (9783540637455)
DOI
10.1007/BFb0096765
Schweitzer Classification
Content
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.