Banach Spaces of Vector-Valued Functions

Banach Spaces of Vector-Valued Functions
Author :
Publisher : Springer
Total Pages : 124
Release :
ISBN-10 : 9783540696391
ISBN-13 : 3540696393
Rating : 4/5 (91 Downloads)

Book Synopsis Banach Spaces of Vector-Valued Functions by : Pilar Cembranos

Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos and published by Springer. This book was released on 2006-11-14 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.


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This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern