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Introduction to Operator Theory in Riesz Spaces

  • Adriaan C. Zaanen

Table of contents

  1. Front Matter
    Pages I-XI
  2. Adriaan C. Zaanen
    Pages 1-11
  3. Adriaan C. Zaanen
    Pages 13-26
  4. Adriaan C. Zaanen
    Pages 27-38
  5. Adriaan C. Zaanen
    Pages 39-53
  6. Adriaan C. Zaanen
    Pages 55-70
  7. Adriaan C. Zaanen
    Pages 71-81
  8. Adriaan C. Zaanen
    Pages 83-97
  9. Adriaan C. Zaanen
    Pages 119-131
  10. Adriaan C. Zaanen
    Pages 133-143
  11. Adriaan C. Zaanen
    Pages 145-160
  12. Adriaan C. Zaanen
    Pages 161-168
  13. Adriaan C. Zaanen
    Pages 169-181
  14. Adriaan C. Zaanen
    Pages 183-192
  15. Adriaan C. Zaanen
    Pages 201-208
  16. Adriaan C. Zaanen
    Pages 209-219
  17. Adriaan C. Zaanen
    Pages 221-232
  18. Adriaan C. Zaanen
    Pages 233-241
  19. Adriaan C. Zaanen
    Pages 243-252
  20. Adriaan C. Zaanen
    Pages 277-307
  21. Back Matter
    Pages 309-312

About this book

Introduction

The book deals with the structure of vector lattices, i.e. Riesz spaces, and Banach lattices, as well as with operators in these spaces. The methods used are kept as simple as possible. Almost no prior knowledge of functional analysis is required. For most applications some familiarity with the oridinary Lebesgue integral is already sufficient. In this respect the book differs from other books on the subject. In most books on functional analysis (even excellent ones) Riesz spaces, Banach lattices and positive operators are mentioned only briefly, or even not at all. The present book shows how these subjects can be treated without undue extra effort. Many of the results in the book were not yet known thirty years ago; some even were not known ten years ago.

Keywords

Boolean algebra Calc Excel Morphism Multiplication calculus convergence functional analysis functions homomorphism knowledge peripheral spectral theorem spectral theory vector lattice

Authors and affiliations

  • Adriaan C. Zaanen
    • 1
    • 2
  1. 1.DelftThe Netherlands
  2. 2.Department of Mathematics and Computer SciencesUniversity of LeidenLeidenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-60637-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64487-0
  • Online ISBN 978-3-642-60637-3
  • Buy this book on publisher's site
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