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Fundamentals of the Theory of Operator Algebras

Special Topics Volume III Elementary Theory—An Exercise Approach

  • Richard V. Kadison
  • John R. Ringrose
Book

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Richard V. Kadison, John R. Ringrose
    Pages 1-39
  3. Richard V. Kadison, John R. Ringrose
    Pages 40-83
  4. Richard V. Kadison, John R. Ringrose
    Pages 84-138
  5. Richard V. Kadison, John R. Ringrose
    Pages 139-206
  6. Richard V. Kadison, John R. Ringrose
    Pages 207-262
  7. Back Matter
    Pages 263-273

About this book

Introduction

These volumes are companions to the treatise; "Fundamentals of the Theory of Operator Algebras," which appeared as Volume 100 - I and II in the series, Pure and Applied Mathematics, published by Academic Press in 1983 and 1986, respectively. As stated in the preface to those volumes, "Their primary goal is to teach the sub­ ject and lead the reader to the point where the vast recent research literature, both in the subject proper and in its many applications, becomes accessible." No attempt was made to be encyclopCEdic; the choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. By way of supplementing the topics selected for presentation in "Fundamentals," a substantial list of exercises comprises the last section of each chapter. An equally important purpose of those exer­ cises is to develop "hand-on" skills in use of the techniques appearing in the text. As a consequence, each exercise was carefully designed to depend only on the material that precedes it, and separated into segments each of which is realistically capable of solution by an at­ tentive, diligent, well-motivated reader.

Keywords

C*-algebra Hilbert space Microsoft Access Volume algebra applied mathematics design mathematics operator operator algebra presentation techniques

Authors and affiliations

  • Richard V. Kadison
    • 1
  • John R. Ringrose
    • 2
  1. 1.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA
  2. 2.School of MathematicsUniversity of NewcastleNewcastle upon TyneEngland

Bibliographic information