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C*-Algebras and W*-Algebras

  • Book
  • © 1998

Overview

Authors:
  1. Shôichirô Sakai

    1. Department of Mathematics, Nihon University, Setagaya-Ku, Tokyo 156, Japan

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  • Every chapter of the book contains illuminating remarks and open problems and references for other details or topics not discussed.
  • The style of the book is fluent.
  • It represents an important contribution to the literature on C*-algebras and through results, problems, a stimulating book for researchers."
  • Revue Romaine de Mathématiques

Part of the book series: Classics in Mathematics (CLASSICS)

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Table of contents (4 chapters)

  1. Front Matter

    Pages N2-XII
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  2. General Theory

    • Shôichirô Sakai
    Pages 1-78

  3. Classification of W*-Algebras

    • Shôichirô Sakai
    Pages 79-120

  4. Decomposition Theory

    • Shôichirô Sakai
    Pages 121-151

  5. Special Topics

    • Shôichirô Sakai
    Pages 153-242

  6. Back Matter

    Pages 243-258
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About this book

From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math. Reviews) "In theory, this book can be read by a well-trained third-year graduate student - but the reader had better have a great deal of mathematical sophistication. The specialist in this and allied areas will find the wealth of recent results and new approaches throughout the text especially rewarding." (American Scientist) "The title of this book at once suggests comparison with the two volumes of Dixmier and the fact that one can seriously make this comparison indicates that it is a far more substantial work that others on this subject which have recently appeared"(BLMSoc)

Reviews

From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math. Reviews) "In theory, this book can be read by a well-trained third-year graduate student - but the reader had better have a great deal of mathematical sophistication. The specialist in this and allied areas will find the wealth of recent results and new approaches throughout the text especially rewarding." (American Scientist) "The title of this book at once suggests comparison with the two volumes of Dixmier and the fact that one can seriously make this comparison indicates that it is a far more substantial work than others on this subject which have recently appeared"(BLMSoc)

Authors and Affiliations

  • Department of Mathematics, Nihon University, Setagaya-Ku, Tokyo 156, Japan

    Shôichirô Sakai

About the author

Biography of Shôichirô Sakai

Shôichirô Sakai was born in 1928 in Kanuma, Japan. He received his B. A. in mathematics in 1953 and his doctorate in 1961 from Tohoku University, Sendai. He was a research assistant there (195-1960), then a faculty member of Waseda University, Tokyo (1960-1964). After 2 years on the faculty of the University of Pennsylvania, he became a professor in 1966 and stayed there till 1979 when he returned to Japan to a chair at Nihon University, Tokyo. Prof. Sakai has also held visiting positions at Yale University (1962-1964) and at MIT (1967-1968). His main interests are in operator algebras, functional analysis and mathematical physics.

Bibliographic Information

  • Book Title: C*-Algebras and W*-Algebras

  • Authors: Shôichirô Sakai

  • Series Title: Classics in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-61993-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-63633-5Published: 11 December 1997

  • eBook ISBN: 978-3-642-61993-9Published: 06 December 2012

  • Series ISSN: 1431-0821

  • Series E-ISSN: 2512-5257

  • Edition Number: 1

  • Number of Pages: XII, 259

  • Additional Information: Originally published as volume 60 of: Ergebnisse der Mathematik und ihre Grenzgebiete

  • Topics: Operator Theory, Functional Analysis, Theoretical, Mathematical and Computational Physics

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