翻訳と辞書 |
Vitali Milman : ウィキペディア英語版 | Vitali Milman
Vitali Davidovich Milman ((ヘブライ語:ויטלי מילמן); (ロシア語:Виталий Давидович Мильман)) (born 23 August 1939) is a mathematician specializing in analysis. He is a professor at the Tel-Aviv University. In the past he was a President of the Israel Mathematical Union and a member of the “Aliyah” committee of Tel-Aviv University.〔(EMET prize announcement )〕 ==Work==
Milman received his Ph.D. at Kharkov State University in 1965 under the direction of Boris Levin. In a 1971 paper, Milman gave a new proof of Dvoretzky's theorem, stating that every convex body in dimension ''N'' has a section of dimension ''d(N)'', with ''d(N)'' tending to infinity with ''N'', that is arbitrarily close to being isometric to an ellipsoid. Milman's proof gives the optimal bound ''d(N)'' ≥ const log ''N''. In this proof, Milman put forth the concentration of measure phenomenon which has since found numerous applications. Milman made important contributions to the study of Banach spaces of large (finite) dimension, which led to the development of asymptotic geometric analysis. His results in this field include Milman's reverse Brunn–Minkowski inequality and the quotient of subspace theorem.
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「Vitali Milman」の詳細全文を読む
スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース |
Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.
|
|