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Operator Algebras and Applications

  • Book
  • © 1997

Overview

Editors:
  1. Aristides Katavolos

    1. Department of Mathematics, University of Athens, Athens, Greece

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Part of the book series: Nato Science Series C: (ASIC, volume 495)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi
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  2. Path Spaces, Continuous Tensor Products, and E 0-Semigroups

    • William Arveson
    Pages 1-111

  3. Some General Theory of Operator Algebras and Their Modules

    • David P. Blecher
    Pages 113-143

  4. Polynomially Bounded Operators, A Survey

    • Kenneth R. Davidson
    Pages 145-162

  5. Operator Analogues of Locally Convex Spaces

    • Edward G. Effros, Corran Webster
    Pages 163-207

  6. Basis Theory and Operator Algebras

    • J. A. Erdos
    Pages 209-223

  7. Reflexivity, Supports and Spectral Synthesis

    • A. Katavolos
    Pages 225-243

  8. Geometric Aspects of the Theory of Nest Algebras

    • E. G. Katsoulis
    Pages 245-254

  9. Finitely-Presented C*-Algebras

    • E. Christopher Lance
    Pages 255-266

  10. Von Neumann Algebras and Wavelets

    • D. R. Larson
    Pages 267-312

  11. A Finite Dimensional Introduction to Operator Algebra

    • Paul S. Muhly
    Pages 313-354

  12. The Pythagoreans: From Harmony to the Irrational

    • S. Negrepontis
    Pages 355-387

  13. Relative Yoneda Cohomology for Operator Spaces: an Overview

    • Vern I. Paulsen
    Pages 389-401

  14. Partly Self-Adjoint Limit Algebras

    • S. C. Power
    Pages 403-428

  15. Operator Algebras Over C*-Correspondences

    • Baruch Solel
    Pages 429-448

  16. Conditional Expectations and Projection Maps of von Neumann Algebras

    • E. Størmer
    Pages 449-461

  17. Back Matter

    Pages 463-467
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Keywords

About this book

During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field.
Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.

Editors and Affiliations

  • Department of Mathematics, University of Athens, Athens, Greece

    Aristides Katavolos

Bibliographic Information

  • Book Title: Operator Algebras and Applications

  • Editors: Aristides Katavolos

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-011-5500-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1997

  • Hardcover ISBN: 978-0-7923-4625-8Published: 30 June 1997

  • Softcover ISBN: 978-94-010-6315-9Published: 12 October 2012

  • eBook ISBN: 978-94-011-5500-7Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XI, 467

  • Topics: Operator Theory, Functional Analysis, Fourier Analysis, Special Functions

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