Banach Spaces of Vector-Valued Functions

• Main Authors: Cembranos, Pilar (Author, http://id.loc.gov/vocabulary/relators/aut), Mendoza, Jose (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1676
• Subjects: Functional analysis.; Operator theory.; Functional Analysis.; Operator Theory.
• Physical Description: VIII, 120 p. online resource.
• ISBN: 9783540696391
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0096765

"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.