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is a Japanese mathematician. == Life == Sakai studied mathematics at the Tohoku University (Sendai). He there received the B. A. degree in 1953 and a doctorate at the same University in 1961. From 1960 to 1964, he was a faculty member of Waseda University. 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. In 1992, he received the Japanese Mathematical Society Autumn Prize.〔Nihon Sūgakukai: (Preisträger der Frühjahrs- und Herbstpreise )〕 He is a fellow of the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2013-11-23.〕 Sakai's main field is functional analysis and mathematical physics. His textbook published in the Springer series in C *-algebras and W *-algebras, in which W *-algebras as C *-algebras are introduced with a predual, is widely used. That fact the W *-algebras may be defined in this way is known as a theorem of Sakai〔Nathanial Patrick Brown, Narutaka Ozawa: ''C *-algebras and finite-dimensional approximations'', American Mathematical Society (2008), ISBN 0-821-84381-8〕 (cf. a theorem of Kadison-Sakai.)〔George A. Elliot: ''On derivations of AW *-algebras'', Tóhoku Mathematical Journal, Band 30 (1978), Seiten 263–276.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Shoichiro Sakai」の詳細全文を読む スポンサード リンク
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