Shoichiro Sakai
{{short description|Japanese mathematician}}
{{Nihongo|Shoichiro Sakai|境 正一郎|Sakai Shōichirō|born 1928 in Kanuma, Tochigi}} 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: [http://mathsoc.jp/office/prize/haruakilist.html Preisträger der Frühjahrs- und Herbstpreise] He is a fellow of the American Mathematical Society.[http://www.ams.org/profession/fellows-list 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 SakaiNathanial 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.
Works
- C *-algebras and W *-algebras, Springer-Verlag 1971, Ergebnisse der Mathematik und ihrer Grenzgebiete, Volume 60, {{ISBN|3-540-63633-1}} (republished in 1998 in Classics in Mathematics)
- Operator algebras in dynamical systems, the theory of unbounded derivations in C*-algebras, Cambridge University Press (1991), {{ISBN|0-521-40096-1}}
References
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Category:20th-century Japanese mathematicians
Category:21st-century Japanese mathematicians
Category:Fellows of the American Mathematical Society
Category:Academic staff of Waseda University
Category:University of Pennsylvania faculty