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Banach Spaces of Continuous Functions as Dual Spaces

  • H. G. Dales
  • F.K. Dashiell, Jr.
  • A.T.-M. Lau
  • D. Strauss

Part of the CMS Books in Mathematics book series (CMSBM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 1-46
  3. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 47-92
  4. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 93-108
  5. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 109-160
  6. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 161-182
  7. H. G. Dales, F. K. Dashiell Jr., A. T.-M. Lau, D. Strauss
    Pages 183-247
  8. Back Matter
    Pages 249-277

About this book

Introduction

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.

Keywords

Banach Spaces Isomorphism Continuous Functions Dual Spaces Boolean Algebras Isometric Isomorphism Injective Spaces

Authors and affiliations

  • H. G. Dales
    • 1
  • F.K. Dashiell, Jr.
    • 2
  • A.T.-M. Lau
    • 3
  • D. Strauss
    • 4
  1. 1.Department of Mathematics and StatisticsUniversity of LancasterLancasterUnited Kingdom
  2. 2.Center of Excellence in Computation Algebra, and Topology (CECAT)Chapman UniversityOrangeUSA
  3. 3.Department of Mathematical SciencesUniversity of AlbertaEDMONTONCanada
  4. 4.Department of Pure MathematicsUniversity of LeedsLeedsUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-32349-7
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-32347-3
  • Online ISBN 978-3-319-32349-7
  • Series Print ISSN 1613-5237
  • Series Online ISSN 2197-4152
  • Buy this book on publisher's site
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