Vitali Milman
Vitali Davidovich Milman ( Russian Виталий Давидович Мильман , Witali Dawidowitsch Milman ; Hebrew ויטלי מילמן; * August 23, 1939 in Odessa , Soviet Union ) is an Israeli mathematician from the former Soviet Union who deals with functional analysis .
life and work
Milman is the son of mathematician David Milman . From 1956 he studied at the University of Kharkov , where he obtained his master’s degree (differential operators) under Boris Jakowlewitsch Lewin in 1961 and his doctorate in 1965 ( Sturm-Liouville operators in a non-self-adjoint case ), while at the same time giving lectures from 1961 and headed a computer group first at the Institute for Low Temperature Physics in Kharkov and later at the Institute for Chemical Physics in Moscow. He completed his habilitation in 1970 (Russian doctorate) with the thesis "Investigation into the infinitely dimensional geometry of a Banach space". In 1973 he went to Israel, where he was an associate professor at Tel Aviv University . In 1976/77 he was a Senior Fellow at the Institute for Advanced Study at the Hebrew University in Jerusalem. In 1978/79 he was visiting professor at the State University of New York at Albany . Since 1980 he has been a professor at Tel-Aviv University. Among other things, he was visiting professor and visiting scholar at various US and Canadian universities, at the Institute for Advanced Study (1988), at IHES , the MSRI (in 1996 as the organizer of a program on convexity and geometric functional analysis), the University of Kiel and at Max- Planck Institute for Mathematics in Bonn.
Since 1990 he has been editor of the journal "Geometric and Functional Analysis". In 1986 and 1998 he was invited speaker at the ICM (1998 lecture in Berlin: Randomness and pattern in convex geometric analysis ) and in 1996 at the ECM ( Surprising geometrical phenomena of high dimensional convexity theory ). In 2002 he received the Israeli Landau Prize and in 2007 the EMET Prize. From 2000 to 2002 he was President of the Israel Mathematical Union and a member of the European Mathematical Union. He is a fellow of the American Mathematical Society .
In 1971 he gave a new proof of Dvoretzky's theorem from the local theory of Banach spaces (also called asymptotic functional analysis). In the geometrical version it ensures the existence of ellipsoids (in the dimension proportional to log (n)) as intersections for every n-dimensional convex body. The methods used in the proof by Milman (mass concentration, concentration of measure) were also very influential beyond the theory of the Banach spaces.
His brother Pierre Milman is a Canadian mathematician. Bo'az Klartag is one of his PhD students .
Fonts
- with Gideon Schechtman: Asymptotic theory of finite dimensional normed spaces, Lecturenotes in mathematics, Volume 1200, Springer 1986, 2nd edition 2002
- with Y. Idelman, A.Tsolomitis: Functional Analysis - an introduction. Graduate Studies in Mathematics, American Mathematical Society. 2004
- Editor with Joram Lindenstrauss of various volumes Geometric Aspects of Functional Analysis. Israel Seminar at Lecturenotes in Mathematics, Springer Verlag (1985/86, 1986/87, 1987/88, 1989/90, 1992/94, 1996–2000, 2001/02, 2003/04, 2004/05)
- with K.Ball (Ed.): Convex geometry and geometric analysis, MSRI Publications Volume 34, Cambridge University Press 1999
- Observations of the movement of peoples and ideas in twentieth century mathematics , in Bolibruch, Osipov, Sinai (editor) Mathematical Events of the Twentieth Century , Springer 2006, p. 215.
Web links
References
- ↑ Vitali Milman in the Mathematics Genealogy Project (English)
- ↑ Functional Analysis and Applications, Volume 5, 1971, No. 4 (Russian)
- ^ Timothy Gowers , The two cultures of mathematics. Mathematics: frontiers and perspectives, AMS, 2000, pp. 65-78.
| personal data | |
|---|---|
| SURNAME | Milman, Vitali |
| ALTERNATIVE NAMES | Мильман, Виталий Давидович (Russian spelling) |
| BRIEF DESCRIPTION | Israeli mathematician |
| DATE OF BIRTH | August 23, 1939 |
| PLACE OF BIRTH | Soviet Union |