Banach Algebra Techniques in Operator Theory

  • Ronald G. Douglas

Part of the Graduate Texts in Mathematics book series (GTM, volume 179)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ronald G. Douglas
    Pages 1-29
  3. Ronald G. Douglas
    Pages 30-57
  4. Ronald G. Douglas
    Pages 58-73
  5. Ronald G. Douglas
    Pages 74-107
  6. Ronald G. Douglas
    Pages 133-157
  7. Ronald G. Douglas
    Pages 158-184
  8. Back Matter
    Pages 185-197

About this book


Operator theory is a diverse area of mathematics which derives its impetus and motivation from several sources. It began with the study of integral equations and now includes the study of operators and collections of operators arising in various branches of physics and mechanics. The intention of this book is to discuss certain advanced topics in operator theory and to provide the necessary background for them assuming only the standard senior-first year graduate courses in general topology, measure theory, and algebra. At the end of each chapter there are source notes which suggest additional reading along with giving some comments on who proved what and when. In addition, following each chapter is a large number of problems of varying difficulty. This new edition will appeal to a new generation of students seeking an introduction to operator theory.


Banach algebra C*-algebra Hilbert space Operator theory algebra measure

Authors and affiliations

  • Ronald G. Douglas
    • 1
  1. 1.Department of MathematicsTexas A & M UniversityCollege StationUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98377-6
  • Online ISBN 978-1-4612-1656-8
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site
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