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Banach Spaces of Vector-Valued Functions

  • Authors
  • Pilar Cembranos
  • José Mendoza

Part of the Lecture Notes in Mathematics book series (LNM, volume 1676)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Pilar Cembranos, José Mendoza
    Pages 1-8
  3. Pilar Cembranos, José Mendoza
    Pages 9-40
  4. Pilar Cembranos, José Mendoza
    Pages 41-63
  5. Pilar Cembranos, José Mendoza
    Pages 65-74
  6. Pilar Cembranos, José Mendoza
    Pages 75-82
  7. Pilar Cembranos, José Mendoza
    Pages 83-104
  8. Pilar Cembranos, José Mendoza
    Pages 105-106
  9. Pilar Cembranos, José Mendoza
    Pages 107-109
  10. Back Matter
    Pages 111-118

About this book

Introduction

"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.

Keywords

Banach space classical sequence functional analysis operator theory space

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096765
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63745-5
  • Online ISBN 978-3-540-69639-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site