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Vitali Milman
Vitali Davidovich Milman ( he, ויטלי מילמן; russian: 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. Work Milman received his Ph.D. at Kharkiv 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 spa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet Union
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev (Ukrainian SSR), Minsk ( Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Government ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Banach Space
In mathematics, more specifically in functional analysis, a Banach space (pronounced ) is a complete normed vector space. Thus, a Banach space is a vector space with a metric that allows the computation of vector length and distance between vectors and is complete in the sense that a Cauchy sequence of vectors always converges to a well-defined limit that is within the space. Banach spaces are named after the Polish mathematician Stefan Banach, who introduced this concept and studied it systematically in 1920–1922 along with Hans Hahn and Eduard Helly. Maurice René Fréchet was the first to use the term "Banach space" and Banach in turn then coined the term "Fréchet space." Banach spaces originally grew out of the study of function spaces by Hilbert, Fréchet, and Riesz earlier in the century. Banach spaces play a central role in functional analysis. In other areas of analysis, the spaces under study are often Banach spaces. Definition A Banach space is a complete norme ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emanuel Milman (Εμμανουήλ), the modern Greek form of the name
{{disambiguation, geo, school ...
Emanuel may refer to: * Emanuel (name), a given name and surname (see there for a list of people with this name) * Emanuel School, Australia, Sydney, Australia * Emanuel School, Battersea, London, England * Emanuel (band), a five-piece rock band from Louisville, Kentucky, United States * Emanuel County, Georgia * ''Emanuel'' (film), a 2019 documentary film about the Charleston church shooting See also * Emmanuel (other) * Immanuel (other) * Emanu-El (other), a list of Jewish synagogues by this name * Immanuel (name), a given name in Hebrew, origin of the other forms in different languages * Emmanouil Emmanouil ( el, Εμμανουήλ) is the Greek version of the name Emanuel. It may refer to: People * Emmanouil Antoniadis (1791–1863), revolutionary in the Greek War of Independence *Emmanouil Argyropoulos (1889–1913), Greek aviator *Emmano ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Milman
Pierre D. Milman (russian: Пьер Д. Мильман), born 1945 in Odessa, is a mathematician and a professor at the University of Toronto. Milman graduated with a B.A. from the University of Moscow in 1967. He obtained his Ph.D. from the University of Tel Aviv in 1975 after an interlude of several years as researcher at the Institute of Chemical Physics and then Solid State Physics in Moscow. Awards Pierre Milman won a two-year Connaught Transformative Research Grant in the 1996 competition within the Faculty of Arts and Science of the University of Toronto. In that year the grant was awarded also to the Nobel Prize laureate John Polani. Usually only one grant is awarded per year. In 1997, he was elected Fellow of the Royal Society of Canada. He was awarded a Killam Research Fellowship in 2002, and the Jeffery–Williams Prize in 2005. Family Mathematics runs in the Milman family. His father is the mathematician David Milman, who co-authored the Krein–Milman theorem. Hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Krein–Milman Theorem
In the mathematical theory of functional analysis, the Krein–Milman theorem is a proposition about compact convex sets in locally convex topological vector spaces (TVSs). This theorem generalizes to infinite-dimensional spaces and to arbitrary compact convex sets the following basic observation: a convex (i.e. "filled") triangle, including its perimeter and the area "inside of it", is equal to the convex hull of its three vertices, where these vertices are exactly the extreme points of this shape. This observation also holds for any other convex polygon in the plane \R^2. Statement and definitions Preliminaries and definitions Throughout, X will be a real or complex vector space. For any elements x and y in a vector space, the set , y:= \ is called the or closed interval between x and y. The or open interval between x and y is (x, x) := \varnothing when x = y while it is (x, y) := \ when x \neq y; it satisfies (x, y) = , y\setminus \ and , y= (x, y) \cup \. The points x ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Milman
David Pinhusovich Milman (russian: Дави́д Пи́нхусович Ми́льман; 15 January 1912, Chechelnyk near Vinnytsia – 12 July 1982, Tel Aviv) was a Soviet and later Israeli mathematician specializing in functional analysis. He was one of the major figures of the Soviet school of functional analysis. In the 70s he emigrated to Israel and was on the faculty of Tel Aviv University. Milman is known for his development of functional analysis methods, particularly in operator theory, in close connection with concrete problems coming from mathematical physics, in particular differential equations and normal modes. The Krein–Milman theorem and the Milman–Pettis theorem are named after him. Milman received his Ph.D. from Odessa State University in 1939 under direction of Mark Krein. He is the father of the mathematicians Vitali Milman and Pierre Milman Pierre D. Milman (russian: Пьер Д. Мильман), born 1945 in Odessa, is a mathematician and a pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
EMET Prize
The EMET Prize for Art, Science and Culture is an Israeli prize awarded annually for excellence in academic and professional achievements that have far-reaching influence and make a significant contribution to society. Prizes are awarded in the following five categories: the Exact Sciences, Life Sciences, Social Sciences, Humanities, and Culture and the Arts. The prizes, in a total amount of one million dollars, are sponsored by the A.M.N. Foundation for the Advancement of Science, Art and Culture in Israel, under the auspices of and in cooperation with the Prime Minister of Israel The prime minister of Israel ( he, רֹאשׁ הַמֶּמְשָׁלָה, Rosh HaMemshala, Head of the Government, Hebrew acronym: he2, רה״מ; ar, رئيس الحكومة, ''Ra'īs al-Ḥukūma'') is the head of government and chief exec .... It is awarded to Israeli citizens, and in certain circumstances to non-citizens who reside in Israel and consider Israel as their permanent home. The EM ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Landau Prize In Mathematics
Landau ( pfl, Landach), officially Landau in der Pfalz, is an autonomous (''kreisfrei'') town surrounded by the Südliche Weinstraße ("Southern Wine Route") district of southern Rhineland-Palatinate, Germany. It is a university town (since 1990), a long-standing cultural centre, and a market and shopping town, surrounded by vineyards and wine-growing villages of the Palatinate wine region. Landau lies east of the Palatinate forest, on the German Wine Route. It contains the districts (''Ortsteile'') of Arzheim, Dammheim, Godramstein, Mörlheim, Mörzheim, Nussdorf, Queichheim, and Wollmesheim. History Landau was first mentioned as a settlement in 1106. It was in the possession of the counts of Leiningen-Dagsburg-Landeck, whose arms, differenced by an escutcheon of the Imperial eagle, served as the arms of Landau until 1955. The town was granted a charter in 1274 by King Rudolf I of Germany, who declared the town a Free Imperial Town in 1291; nevertheless Prince-Bishop Emich of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric And Functional Analysis
''Geometric and Functional Analysis'' (''GAFA'') is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is published approximately bi-monthly. The journal publishes papers on broad range of topics in geometry and analysis including geometric analysis, riemannian geometry, symplectic geometry, geometric group theory, non-commutative geometry, automorphic forms and analytic number theory, and others. ''GAFA'' is both an acronym and a part of the official full name of the journal. History ''GAFA'' was founded in 1991 by Mikhail Gromov and Vitali Milman. The idea for the journal was inspired by the long-running Israeli seminar series "Geometric Aspects of Functional Analysis" of which Vitali Milman had been one of the main organizers in the previous years. The journal retained the same acronym as the series to stress the connection between the two. Journal information The journal is reviewed cover-to-cover in Mathematical Revie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Israel Ministry Of Science
The Ministry of Science and Technology is a government ministry in Israel, headed by the Science and Technology Minister. The portfolio has been renamed several times since its creation, and has previously included Culture and Sport, which is now the responsibility of the Culture and Sport Ministry. In April 2013, the Ministry added "Space" to its name to promote space research and technology. The ministry is responsible for defining national policy on issues related to Science and technology in Israel, and promoting scientific and technological research, infrastructure and projects. In addition, under its jurisdiction, it acts to develop human capital, increase the social and economic vigor of Israeli society, and maintain equal opportunity in all areas of science and technology. Amongst its goals, the Ministry constitutes a connecting link between basic research, applied research and industrial development. Another central goal of the Ministry is to strengthen as well as initiat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
