Gelfand representation
Gelfand representation In mathematics, the Gelfand representation in functional analysis allows a complete characterisation ... algebras of continuous complex-valued functions. The Gelfand representation theorem is one avenue in ...
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Israel Gelfand
Israel Gelfand Israel M. Gelfand. Israïl (Israel) Moiseevich Gelfand (Russian: ) (born on September 2, 1913) is ... is known for many developments including: the Gelfand representation in Banach algebra theory; the Gelfand–Naimark ...
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Gelfand–Naimark theorem
... as an algebra of operators. The Gelfand–Naimark representation π is the direct sum of representations ... A and π f is the irreducible representation associated to f by the GNS construction. Thus the Gelfand–Naimark representation acts on the Hilbert direct sum of ... having norm ≤ ||x||. Theorem. The Gelfand–Naimark representation of a C*-algebra is an isometric *-representation. It suffices to show the map ...
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Gelfand-Naimark-Segal construction
Gelfand-Naimark-Segal construction In functional analysis, given ... shown by an explicit construction of the *-representation from the state. The content of the ... of that theorem. States and representations A *-representation of a C*-algebra A on a ... immediately from the Banach-Alaoglu theorem. A representation π of a C*-algebra A on ... Any non-zero vector of an irreducible representation is cyclic. However, non-zero vectors ...
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Israel Gelfand   (translated from French)
Israel Gelfand This article is one ébauche to be ... share your knowledge by modifying it. Israel Gelfand (????????????? ????????) (born in 1913 with Okny, Kherson en ... de nombreuses choses, dont : la représentation de Gelfand dans la théorie des algèbres de Banach ; le théorème de Gelfand-Naimark ; la contruction de Gelfand-Naimark-Segal ; la théorie des représentations ...
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Category:Representation theory
Category:Representation theory Subcategories There are 3 subcategories to ... C Clifford algebras I Invariant theory R Representation theory of groups Pages in category "Representation theory" There are 47 pages in this section of this category. * Representation theory A Adjoint endomorphism Adjoint representation Antifundamental representation B Blattner's conjecture ...
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Representation theory of diffeomorphism groups
Representation theory of diffeomorphism groups In mathematics, a source for the representation theory of the group of diffeomorphisms of ... of the subject by Anatoly Vershik , Israel Gelfand and M. I. Graev attributes the original ... be decomposed into Diff x 1 (M) representation-valued functions over M. So what are ... H, then if we have a 'H-representation, we can obtain a restricted G- ...
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Quantum group
... section on quantum groups at q = 0). Representation Theory Just as there are many different types of representation for Kac-Moody algebras and their universal ... so there are many different types of representation for quantum groups. As is the case ... math>U_q(G) has an adjoint representation on itself as a module, with the ... root of unity One important type of representation is the highest weight representation, and ...
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User:Mathbot/Changes mathlist
... model Added Extension (model theory) Added Function Representation Added Glossary of category theory Added Goal ... character formula Added Lie derivation Added Martingale representation theorem Added Mel frequency cepstral coefficient Added ... Added Numerical instability Added Particle physics and representation theory Added Periodic group Added Rosenbrock function ... Medial triangle Added Perfect square factor Added Representation of a Lie algebra Added Representation of a Lie group Dec 5 ...
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User:CryptoDerk/planetmathproject/test Functional analysis
... multiresolution analysis -- Status: PM: proof of Riesz representation theorem for separable Hilbert spaces -- WP guess: proof of Riesz representation theorem for separable Hilbert spaces -- Status: PM: Riesz representation theorem -- WP guess: Riesz representation theorem -- Status: PM: Riesz-Fischer theorem -- WP ... space form a C^*-algebra -- Status: PM: Gelfand-Naimark representation theorem -- WP guess: Gelfand- ...
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