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

Date :

Type : Livre / Book

Langue / Language : anglais / English

ISBN : 978-3-540-69639-1

Espaces de Banach

Mathématiques

Analyse fonctionnelle

Fonctions vectorielles

Classification Dewey : 510

Collection : Lecture notes in mathematics / Heidelberg : Springer , 2001-

Relation : Banach spaces of vector-valued functions / Pilar Cembranos, José Mendoza / Berlin : Springer

Résumé / Abstract : "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.