Theory of Operator Algebras I: Originally Published As a Monograph: 124 (Encyclopaedia of Mathematical Sciences, 124) - Hardcover

Takesaki, M.

Hardcover

ISBN 10: 354042248X ISBN 13: 9783540422488

Publisher: Springer, 2001

Synopsis

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.

About this title

Review

"... 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)

Synopsis

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 exercises. This book is part of the subseries of the "EMS on Operator Algebras and Non-Commutative Geometry".

Edition details

• Publisher: Springer
• Publication date: 2001
• Language: English
• ISBN 10: 354042248X
• ISBN 13: 9783540422488
• Binding: Hardcover
• Edition number: 1
• Number of pages: 434