A Short Course on Spectral Theory

  • William¬†Arveson

Part of the Graduate Texts in Mathematics book series (GTM, volume 209)

Table of contents

  1. Front Matter
    Pages i-x
  2. William Arveson
    Pages 1-38
  3. William Arveson
    Pages 39-81
  4. William Arveson
    Pages 101-129
  5. Back Matter
    Pages 131-141

About this book

Introduction

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.

Keywords

Banach Algebra C* Algebra C*-algebra Hilbert space Spectral Ttheory differential equation functional analysis measure

Authors and affiliations

  • William¬†Arveson
    • 1
  1. 1.Department of MathematicsUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/b97227
  • Copyright Information Springer Science+Business Media New York 2002
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2943-3
  • Online ISBN 978-0-387-21518-1
  • Series Print ISSN 0072-5285
  • Series Online ISSN 2197-5612
  • About this book