• Thumbnail for Krein–Milman theorem
    analysis, the KreinMilman theorem is a proposition about compact convex sets in locally convex topological vector spaces (TVSs). KreinMilman theorem — A compact...
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  • Thumbnail for Mark Krein
    Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odesa National University. Tannaka–Krein duality KreinMilman theorem and...
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  • Thumbnail for Extreme point
    {\displaystyle X.} The KreinMilman theorem is arguably one of the most well-known theorems about extreme points. KreinMilman theorem — If S {\displaystyle...
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  • / I relative to this pre-C*-norm produces a C*-algebra B. By the KreinMilman theorem one can show without too much difficulty that for x an element of...
    6 KB (839 words) - 11:26, 30 October 2024
  • {\displaystyle X^{\prime }} then A {\displaystyle A} is weak-* closed. KreinMilman theorem – On when a space equals the closed convex hull of its extreme points...
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  • Thumbnail for Helly's theorem
    Carathéodory's theorem Doignon's theorem Kirchberger's theorem Shapley–Folkman lemma KreinMilman theorem Choquet theory Radon's theorem, and its generalization...
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  • gives a short proof of Bishop's theorem using the KreinMilman theorem in an essential way, as well as the Hahn–Banach theorem: the process of Louis de Branges...
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  • Thumbnail for Convex hull
    (1986). Krein & Milman (1940); Lay (1982), p. 43. Okon (2000). Kiselman (2002). Kashiwabara, Nakamura & Okamoto (2005). Krein & Šmulian (1940), Theorem 3,...
    61 KB (7,147 words) - 00:31, 27 December 2024
  • space Goldstine theorem James' theorem – theorem in mathematicsPages displaying wikidata descriptions as a fallback Krein-Milman theorem – On when a space...
    61 KB (8,306 words) - 04:30, 25 September 2024
  • Queensland, Australia Milman Islet, an island off the coast of Queensland, Australia Milman baronets, a British title KreinMilman theorem This disambiguation...
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  • Banach space. The original KreinMilman theorem follows from Choquet's result. Another corollary is the Riesz representation theorem for states on the continuous...
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  • differential equations and normal modes. The KreinMilman theorem and the Milman–Pettis theorem are named after him. Milman received his Ph.D. from Odessa State...
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  • Thumbnail for List of Russian mathematicians
    polynomials and Kravchuk matrix Mark Krein, developed the Tannaka–Krein duality, KreinMilman theorem and Krein space, Wolf Prize winner Alexander Kronrod...
    17 KB (1,716 words) - 00:48, 19 October 2024
  • Helly's theorem Kirchberger's theorem N-dimensional polyhedron Radon's theorem, and its generalization Tverberg's theorem KreinMilman theorem Choquet...
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  • _{i}x_{i})\|_{X}=\|(x_{i})\|_{X}} . The proof is based on the KreinMilman theorem. Marcinkiewicz interpolation theorem Interpolation space Stein and Weiss (1971) and...
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  • Thumbnail for Convex polygon
    nonempty, then the intersection of all the polygons is nonempty. KreinMilman theorem: A convex polygon is the convex hull of its vertices. Thus it is...
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  • independent) particles. Choquet theory Hewitt–Savage zero–one law KreinMilman theorem Invariant sigma-algebra Spiegelhalter, D. 2024 [1] Why probability...
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  • Bourbaki–Alaoglu theorem Dual pair F-space Fréchet space KreinMilman theorem Locally convex topological vector space Mackey topology Mackey–Arens theorem Montel...
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  • logic) Kövari–Sós–Turán theorem (graph theory) Kraft–McMillan theorem (coding theory) Kramers' theorem (physics) KreinMilman theorem (mathematical analysis...
    73 KB (6,042 words) - 08:00, 30 December 2024
  • Thumbnail for Vitali Milman
    the Milman family. His father is the mathematician David Milman, who devised the KreinMilman theorem. His brother is the mathematician Pierre Milman and...
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  • Vitali Milman, a mathematician specializing in analysis and his grandfather is the mathematician David Milman, who devised the KreinMilman theorem. https://emilman...
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  • X} with total mass ≤ 1 {\displaystyle \leq 1} . It follows from KreinMilman theorem that the extremal states are the Dirac point-mass measures. On the...
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  • Tychonoff's theorem, and also to the conjunction of two fundamental results of functional analysis, the Banach–Alaoglu theorem and the KreinMilman theorem.[citation...
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  • This proves the theorem. It follows from the above decomposition that A* is the linear span of states. By the Krein-Milman theorem, the state space of...
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  • polynomials and Kravchuk matrix Mark Krein, developed the Tannaka–Krein duality, KreinMilman theorem and Krein space, Wolf Prize winner Alexander Kronrod...
    94 KB (9,592 words) - 20:09, 24 November 2024
  • Milman family. His father is the mathematician David Milman, who co-authored the KreinMilman theorem. His brother is the mathematician Vitali Milman...
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  • Thumbnail for Ultrafilter on a set
    ultrafilter lemma and the KreinMilman theorem; conversely, under ZF, the ultrafilter lemma together with the KreinMilman theorem can prove the axiom of...
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  • Thumbnail for List of Russian people
    discovered the Kovalevskaya top Mark Krein, developed the Tannaka–Krein duality, KreinMilman theorem and Krein space, Wolf Prize winner Nikolay Krylov...
    204 KB (22,845 words) - 16:40, 31 December 2024
  • the endpointsPages displaying wikidata descriptions as a fallback KreinMilman theorem – On when a space equals the closed convex hull of its extreme points...
    58 KB (10,568 words) - 23:16, 10 August 2024
  • Thumbnail for Oriented matroid
    Many results—Carathéodory's theorem, Helly's theorem, Radon's theorem, the Hahn–Banach theorem, the KreinMilman theorem, the lemma of Farkas—can be formulated...
    31 KB (3,970 words) - 08:05, 17 June 2024