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Theory of Operator Algebras 1

'Encyclopedia of Mathematical Sciences'. 'Operator Algebras and Non-Commutative Geometry'. 2. Auflage. 1979. 2nd…
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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 un… weiterlesen
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Theory of Operator Algebras 1 als Buch

Produktdetails

Titel: Theory of Operator Algebras 1
Autor/en: M. Takesaki

ISBN: 354042248X
EAN: 9783540422488
'Encyclopedia of Mathematical Sciences'. 'Operator Algebras and Non-Commutative Geometry'.
2. Auflage. 1979. 2nd Print.
Bibliographie.
Book.
Sprachen: Deutsch Englisch.
Springer-Verlag GmbH

20. November 2001 - gebunden - XII

Beschreibung

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.

Inhaltsverzeichnis

From the contents:
Fundaments of Banach Algebras and C--Algebras
- Topologies and Density Theorems in Operator Algebras
- Conjugate Spaces
- Tensor Products of Operator Algebras and Direct Integrals
- Types of von Neumann Algebras and Traces
- Appendix: Polish Spaces and Standard Borel Spaces

Pressestimmen

"... 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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