Theory of Operator Algebras I (Operator Algebras and Non-Commulative Geometry V)

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9783540422488: Theory of Operator Algebras I (Operator Algebras and Non-Commulative Geometry V)

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.

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"... 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)

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M. Takesaki
Verlag: Springer-Verlag Gmbh Nov 2001 (2001)
ISBN 10: 354042248X ISBN 13: 9783540422488
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Buchbeschreibung Springer-Verlag Gmbh Nov 2001, 2001. Buch. Buchzustand: Neu. Neuware - A successful book on operator algebras made available again; can be used as a graduate level textbook Text: 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 two volume treatise provides a clear, carefully written survey that emphasizes the theorys analytical and topological aspects. The books 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. 415 pp. Deutsch. Artikel-Nr. 9783540422488

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