Vitali Milman
Vitali Milman Davidovich (Russian Виталий Давидович Мильман, Vitaly Davidovich Milman; Hebrew ויטלי מילמן; born August 23, 1939 in Odessa, Soviet Union) is an Israeli, hailing from the former Soviet Union mathematician who deals with functional analysis.
Life and work
Milman is the son of the mathematician David Milman. He studied from 1956 at the University of Kharkov, where Boris Yakovlevich Levin his master's degree ( differential operators ) he made in 1961 and in 1965 received his doctorate ( Sturm-Liouville operators in a non- self - adjoint case ), while he held the same since 1961 lectures and a computer group initiated only at the Institute for Low temperature Physics in Kharkov and later at the Institute of chemical Physics in Moscow. He habilitated in 1970 ( Russian PhD ) with the work of investigation into the infinite dimensional geometry of a Banach space. In 1973, he went to Israel, where he was an associate professor at the University of Tel Aviv. 1976/77 he was a Senior Fellow at the Institute for Advanced Study at the Hebrew University in Jerusalem. 1978/79 he was a visiting professor at the State University of New York at Albany. Since 1980 he is professor at the University of Tel - Aviv. He has been a visiting professor and visiting scholar at several American and Canadian universities, the Institute for Advanced Study (1988 ), at the IHES, the MSRI (1996 as an organizer of a program on convexity and geometric functional analysis ), the University of Kiel and the Max - Planck Institute for Mathematics in Bonn.
Since 1990 he has been editor of the journal " Geometric and Functional Analysis". 1986 and 1998 he was invited speaker at the ICM ( lecture in Berlin in 1998: Randomness and pattern in convex geometric analysis) and 1996 on the ECM ( Surprising geometrical phenomena of high dimensional convexity theory ). In 2002 he received the Israeli Landau price and the 2007 EMET price. 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 the theorem of Dvoretzky from the local theory of Banach spaces (also called asymptotic functional analysis ). In geometric incarnation, it shall ensure for each n-dimensional convex body, the existence of ellipsoids ( in the dimension proportional to log (n) ) as the cut surfaces. The methods used by Milman in the proof (Mass concentration, concentration of measure ) were also influential on the theory of Banach spaces beyond.
His brother Pierre Milman is a Canadian mathematician. His doctoral Bo'az heard Klartag.
Writings
- With Gideon Schechtman: Asymptotic theory of finite dimensional normed spaces, Lecture Notes in Mathematics, Bd.1200, Springer, 1986, 2nd edition 2002
- With Y. Idelman, A.Tsolomitis: Functional Analysis - an introduction. Graduate Studies in Mathematics, American Mathematical Society. 2004
- Publisher with Joram Lindenstrauss of different volumes Geometric Aspects of Functional Analysis. Israel seminar in Lecture Notes 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 (Editor): Convex geometry and geometric analysis, MSRI Publications Bd.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, pp. 215