Shōichirō Sakai

Shōichirō Sakai ( Japanese 境 正 一郎 , Sakai Shōichirō ; * 1928 in Kanuma , Japan ) is a Japanese mathematician.

Life

Sakai studied mathematics at Tōhoku University ( Sendai ). In 1953 he received his BA degree there and received his doctorate at the same university in 1961. From 1960 to 1964 he was a member of the faculty of Waseda University . He then went to the University of Pennsylvania , where he became a professor in 1966 and stayed until 1979. He then returned to Japan and went to Nihon University . In 1992 he received the Autumn Prize of the Japanese Mathematical Society . He is a fellow of the American Mathematical Society .

Work area

Sakai's main areas of work were functional analysis and mathematical physics . His textbook C * -Algebras and W * -Algebras , which appeared in the Springer series , in which W * -algebras are introduced as C * -algebras with a predual , found widespread use. That the W * -algebras are actually defined in this way is also known as Sakai's theorem. The statements going back to him, according to which derivations on a W * -algebra and also on a simple C * -algebra are always inner, are also cited as the theorem of Sakai , the W * case also as the theorem of Kadison- Sakai .

Works

• C * -Algebras and W * -Algebras , Springer-Verlag 1971, Results of Mathematics and their Frontier Areas, Volume 60, ISBN 3-540-63633-1
• Operator algebras in dynamical systems, the theory of unbounded derivations in C * -algebras , Cambridge University Press (1991), ISBN 0-521-40096-1

Web links

• Shōichirō Sakai in the Mathematics Genealogy Project (English)

Individual evidence

1. ↑ Nihon Sūgakukai: Winner of the spring and autumn awards
2. ^ Nathanial Patrick Brown, Narutaka Ozawa: C * -algebras and finite-dimensional approximations , American Mathematical Society (2008), ISBN 0-821-84381-8
3. ↑ George A. Elliot: On derivations of AW * -algebras , Tóhoku Mathematical Journal, Volume 30 (1978), pages 263-276.