Encyclopaedia of Mathematical Sciences

Theory of Operator Algebras I

Authors: Takesaki, M.

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About this book

Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.
The book's unifying theme is the Banach space duality for operator algebras. This allows the reader to recognize the affinity between operator algebras and measure theory on locally compact spaces. Very technical sections are clearly labeled and there are extensive comments by the author, a good historical background and excercises.
This book is part of the subseries of the EMS on Operator Algebras and Non-Commutative Geometry.

Reviews

"... These three bulky volumes [EMS 124, 125, 127], written by one of the most prominent researchers of the area, provide an introduction to this repidly developing theory. ... These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of matematics. Furthermore, they should be on the bookshelf of every researcher of the area." (László Kérchy, Acta Scientiarum Mathematicarum, Vol. 69, 2003)


Buy this book

Hardcover $189.00
price for USA
  • ISBN 978-3-540-42248-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Theory of Operator Algebras I
Authors
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
124
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
Hardcover ISBN
978-3-540-42248-8
Series ISSN
0938-0396
Edition Number
1
Number of Pages
XIX, 415
Additional Information
Originally published as a monograph
Topics