C*-Algebras and W*-Algebras (Google eBook)

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Springer Science & Business Media, 1971 - Mathematics - 256 pages
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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)
  

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Contents

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Copyright

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Page 243 - R. The adjoint of a bilinear operation. Proc. Amer. Math. Soc. 2 (1951), 839-848.
Page 243 - Araki, H. : von Neumann algebras of local observables for free scalar field, J. Math. phys. 5, 1—13 (1964).
Page 243 - Sur les algebres d'operateurs dans les espaces hilbertiens, Bull. Soc. Math. France, 82, 1—51 (1954).
Page 1 - This result shows that duality is not universal and that it is not the case, in general, that a dual Banach space is the dual space of a unique Banach space [19] ; it implies also that the Banach space of (closed) bounded linear functionals can be "opened up...

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About the author (1971)

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.

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