Banach spaces of vector-valued functions
By: Pilar Cembranos, José Mendoza.
Contributors: Mendoza, José, 1957-
Series: Lecture notes in mathematics,; 1676; Lecture notes in mathematics (Springer-Verlag) ;; 1676.
Publisher: Springer
Published: 1997
Place of publication: Berlin; New York
Language: eng
Number of pages: 118
Subjects: Banach spaces; Vector valued functions
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.
Notes: Includes bibliographical references (p. [111]-116) and index.