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Algebraic Methods in Operator Theory

  • Raúl E. Curto
  • Palle E. T. Jørgensen

Table of contents

  1. Front Matter
    Pages i-viii
  2. Single Operators and Applications

  3. Nonselfadjoint Algebras

    1. Front Matter
      Pages 47-47
    2. Keith J. Coates
      Pages 49-51
    3. Alan Hopenwasser, Cecelia Laurie
      Pages 66-78
  4. C* Algebras

    1. Front Matter
      Pages 99-99
    2. L. A. Coburn
      Pages 101-108
    3. George A. Elliott
      Pages 109-123
    4. Ichiro Fujimoto
      Pages 124-133
    5. Martin Mathieu
      Pages 144-152
    6. Xiu-Chi Quan
      Pages 153-162
  5. Von Neumann Algebras and Subfactors

    1. Front Matter
      Pages 173-173
    2. Dietmar Bisch
      Pages 175-194
    3. Wojciech Szymański
      Pages 218-222
  6. Representations of Groups and Algebras on Hilbert Space

    1. Front Matter
      Pages 223-223
    2. Robert P. Boyer
      Pages 225-235
    3. P. E. T. Jørgensen, L. M. Schmitt, R. F. Werner
      Pages 261-271
    4. Terry A. Loring
      Pages 272-275
    5. Gabriel Nagy, Alexandru Nica
      Pages 276-290
    6. John C. Quigg
      Pages 291-295
    7. Albert Jeu-Liang Sheu
      Pages 296-304
  7. Geometry and Topology

    1. Front Matter
      Pages 305-305
    2. Marius Dădărlat, Terry A. Loring
      Pages 316-327
    3. Paul S. Muhly, Chaoxin Qiu, Jingbo Xia
      Pages 328-349

About these proceedings

Introduction

The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify­ ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T.

Keywords

Cohomology Hilbert space Operator theory algebra convolution harmonic analysis

Editors and affiliations

  • Raúl E. Curto
    • 1
  • Palle E. T. Jørgensen
    • 1
  1. 1.Department of Mathematics MLHUniversity of IowaIowa CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0255-4
  • Copyright Information Springer Science+Business Media New York 1994
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6683-9
  • Online ISBN 978-1-4612-0255-4
  • Buy this book on publisher's site