analysis, the Krein–Milman theorem is a proposition about compact convex sets in locally convex topological vector spaces (TVSs). Krein–Milman theorem — A compact...
20 KB (2,953 words) - 00:34, 14 October 2024
Mark Krein was unveiled on the main administration building of I.I. Mechnikov Odesa National University. Tannaka–Krein duality Krein–Milman theorem and...
4 KB (235 words) - 12:17, 25 October 2024
Extreme point (section Krein–Milman theorem)
{\displaystyle X.} The Krein–Milman theorem is arguably one of the most well-known theorems about extreme points. Krein–Milman theorem — If S {\displaystyle...
12 KB (2,075 words) - 10:22, 20 December 2024
/ I relative to this pre-C*-norm produces a C*-algebra B. By the Krein–Milman 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. Krein–Milman theorem – On when a space equals the closed convex hull of its extreme points...
3 KB (403 words) - 15:47, 22 July 2024
Carathéodory's theorem Doignon's theorem Kirchberger's theorem Shapley–Folkman lemma Krein–Milman theorem Choquet theory Radon's theorem, and its generalization...
9 KB (956 words) - 22:06, 27 September 2024
gives a short proof of Bishop's theorem using the Krein–Milman theorem in an essential way, as well as the Hahn–Banach theorem: the process of Louis de Branges...
27 KB (3,234 words) - 00:14, 10 December 2024
(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 Krein–Milman theorem This disambiguation...
849 bytes (120 words) - 17:46, 16 July 2019
Choquet theory (redirect from Choquet's theorem)
Banach space. The original Krein–Milman theorem follows from Choquet's result. Another corollary is the Riesz representation theorem for states on the continuous...
5 KB (779 words) - 07:33, 20 September 2023
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...
3 KB (197 words) - 14:00, 6 November 2024
polynomials and Kravchuk matrix Mark Krein, developed the Tannaka–Krein duality, Krein–Milman 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 Krein–Milman theorem Choquet...
14 KB (2,153 words) - 21:04, 8 July 2024
_{i}x_{i})\|_{X}=\|(x_{i})\|_{X}} . The proof is based on the Krein–Milman theorem. Marcinkiewicz interpolation theorem Interpolation space Stein and Weiss (1971) and...
39 KB (6,115 words) - 02:08, 13 December 2024
nonempty, then the intersection of all the polygons is nonempty. Krein–Milman theorem: A convex polygon is the convex hull of its vertices. Thus it is...
6 KB (877 words) - 02:14, 30 December 2024
independent) particles. Choquet theory Hewitt–Savage zero–one law Krein–Milman theorem Invariant sigma-algebra Spiegelhalter, D. 2024 [1] Why probability...
18 KB (2,568 words) - 12:37, 30 December 2024
Bourbaki–Alaoglu theorem Dual pair F-space Fréchet space Krein–Milman theorem Locally convex topological vector space Mackey topology Mackey–Arens theorem Montel...
5 KB (475 words) - 23:38, 19 July 2023
logic) Kövari–Sós–Turán theorem (graph theory) Kraft–McMillan theorem (coding theory) Kramers' theorem (physics) Krein–Milman theorem (mathematical analysis...
73 KB (6,042 words) - 08:00, 30 December 2024
the Milman family. His father is the mathematician David Milman, who devised the Krein–Milman theorem. His brother is the mathematician Pierre Milman and...
6 KB (516 words) - 23:49, 31 October 2024
Vitali Milman, a mathematician specializing in analysis and his grandfather is the mathematician David Milman, who devised the Krein–Milman theorem. https://emilman...
7 KB (565 words) - 10:13, 26 December 2024
Gelfand–Naimark–Segal construction (redirect from GNS theorem)
X} with total mass ≤ 1 {\displaystyle \leq 1} . It follows from Krein–Milman theorem that the extremal states are the Dirac point-mass measures. On the...
16 KB (2,463 words) - 01:31, 4 January 2025
Tychonoff's theorem, and also to the conjunction of two fundamental results of functional analysis, the Banach–Alaoglu theorem and the Krein–Milman theorem.[citation...
8 KB (1,203 words) - 22:14, 26 August 2024
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...
6 KB (821 words) - 15:05, 21 December 2024
polynomials and Kravchuk matrix Mark Krein, developed the Tannaka–Krein duality, Krein–Milman 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 Krein–Milman theorem. His brother is the mathematician Vitali Milman...
2 KB (166 words) - 12:47, 5 November 2024
ultrafilter lemma and the Krein–Milman theorem; conversely, under ZF, the ultrafilter lemma together with the Krein–Milman theorem can prove the axiom of...
47 KB (7,377 words) - 04:20, 9 April 2024
discovered the Kovalevskaya top Mark Krein, developed the Tannaka–Krein duality, Krein–Milman 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 Krein–Milman theorem – On when a space equals the closed convex hull of its extreme points...
58 KB (10,568 words) - 23:16, 10 August 2024
Oriented matroid (redirect from Folkman–Lawrence topological representation theorem)
Many results—Carathéodory's theorem, Helly's theorem, Radon's theorem, the Hahn–Banach theorem, the Krein–Milman theorem, the lemma of Farkas—can be formulated...
31 KB (3,970 words) - 08:05, 17 June 2024