Background
Sakai, Shoichiro was born on January 2, 1928 in Kanuma, Tochigi, Japan. Son of Hajime and Moto (Kojima) Sakai.
(This book is concerned with the theory of unbounded deriv...)
This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made considerable contributions. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of C*-theory. The presentation concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, the author globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.
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境 正一郎
Sakai, Shoichiro was born on January 2, 1928 in Kanuma, Tochigi, Japan. Son of Hajime and Moto (Kojima) Sakai.
Doctor of Philosophy, Tohoku University, Sendai, Japan, 1961.
He there received the Bachelor of Arts degree in 1953 and a doctorate at the same University in 1961. He then went to the University of Pennsylvania, where he became a professor in 1966 and remained until 1979. He then returned to Japan and went to the Nihon University.
He is a fellow of the American Mathematical Society.
Sakai"s main field is functional analysis and mathematical physics. His textbook published in the Springer series in C *-algebras and West *-algebras, in which West *-algebras as C *-algebras are introduced with a predual, is widely used.
That fact the West *-algebras may be defined in this way is known as a theorem of Sakai (cf a theorem of Kadison-Sakai).
(This book is concerned with the theory of unbounded deriv...)
Member American Mathematics Society, Japan Mathematics Society (editor journals 1984-1988, Autumn prize 1992), New York Academy of Sciences.
Married Yoshiko Sasaki, July 5, 1958. Children: Masato, Kiyoshi.