Advertisement

© 1998

C*-Algebras and W*-Algebras

Book

Part of the Classics in Mathematics book series (CLASSICS, volume 60)

Table of contents

  1. Front Matter
    Pages N2-XII
  2. Shôichirô Sakai
    Pages 1-78
  3. Shôichirô Sakai
    Pages 79-120
  4. Shôichirô Sakai
    Pages 121-151
  5. Shôichirô Sakai
    Pages 153-242
  6. Back Matter
    Pages 243-258

About this book

Introduction

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)

Keywords

Hilbert space algebra operator algebras operator rings von neumann algebras

Authors and affiliations

  1. 1.Department of MathematicsNihon UniversitySetagaya-Ku, Tokyo 156Japan

About the authors

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 Shoichiro Sakai
  • Series Title Classics in Mathematics
  • DOI https://doi.org/10.1007/978-3-642-61993-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-05347-7
  • Softcover ISBN 978-3-540-63633-5
  • eBook ISBN 978-3-642-61993-9
  • Series ISSN 1431-0821
  • Edition Number 1
  • Number of Pages XII, 259
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 60 of: Ergebnisse der Mathematik und ihre Grenzgebiete
  • Topics Operator Theory
    Functional Analysis
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site

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)