Skip to main content
SpringerLink
Log in
Book cover

Banach Spaces of Vector-Valued Functions

  • Book
  • © 1997

Overview

Authors:
  1. Pilar Cembranos
    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. José Mendoza
    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Introduction

    • Pilar Cembranos, José Mendoza
    Pages 1-8

  3. Preliminaries

    • Pilar Cembranos, José Mendoza
    Pages 9-40

  4. Copies of c 0 and ℓ1 in L p (μ, X)

    • Pilar Cembranos, José Mendoza
    Pages 41-63

  5. C(K, X) spaces

    • Pilar Cembranos, José Mendoza
    Pages 65-74

  6. L p (μ, X) spaces

    • Pilar Cembranos, José Mendoza
    Pages 75-82

  7. The space L ∞( μ, X)

    • Pilar Cembranos, José Mendoza
    Pages 83-104

  8. Tabulation of results

    • Pilar Cembranos, José Mendoza
    Pages 105-106

  9. Some related open problems

    • Pilar Cembranos, José Mendoza
    Pages 107-109

  10. Back Matter

    Pages 111-118
    Download chapter PDF
Back to top

Keywords

About this book

"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.

Bibliographic Information

  • Book Title: Banach Spaces of Vector-Valued Functions

  • Authors: Pilar Cembranos, José Mendoza

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0096765

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-63745-5Published: 27 November 1997

  • eBook ISBN: 978-3-540-69639-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 120

  • Topics: Functional Analysis, Operator Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation