Gelfand

Gelfand

Gelfand is a surname meaning "elephant" in Yiddish language and may refer to:
* Alan Gelfand, the inventor of the ollie, a skateboarding move
* Boris Gelfand, a chess grandmaster
* Israel Gelfand, a mathematician
* Vladimir Gelfand, a Ukrainian-Jewish writer

** Gelfand representation, in mathematics, something that allows a complete characterisation of commutative C*-algebras as algebras of continuous complex-valued functions
*** Gelfand-Naimark-Segal construction
*** Gelfand–Naimark theorem
*** Gelfand-Mazur theorem
*** Gelfand pair, a pair (G,K) consisting of a locally compact group G which is unimodular, and a subgroup K which is a compact group
*** Gelfand triple, a construction designed to link the distribution (test function) and square-integrable aspects of functional analysis

ee also

* Alexander Gelfond
* Helfand


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  • Gelfand — ist der Familienname folgender Personen: Alan Gelfand (* 1963), US amerikanischer Skateboarder Boris Gelfand (* 1968), weißrussisch israelischer Schachmeister Israel Moissejewitsch Gelfand (1913–2009), sowjetisch ukrainischer Mathematiker… …   Deutsch Wikipedia

  • Gelfand —  Cette page d’homonymie répertorie des personnes (réelles ou fictives) partageant un même patronyme. Patronyme Alan Gelfand (1963 ), skater américain, inventeur de la figure du ollie Boris Gelfand (24 juin 1968 ), joueur d’échecs… …   Wikipédia en Français

  • GELFAND, IZRAIL MOISEVICH — (1913– ), Russian mathematician. Gelfand was born in Krasnye Okny (now Moldova) and obtained his Ph.D. at Moscow University (1938), where he was professor at the Academy of Sciences Institute of Mathematics from 1943. He worked mainly in Banach… …   Encyclopedia of Judaism

  • Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G ,  K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …   Wikipedia

  • Gelfand representation — In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) has two related meanings:* a way of representing commutative Banach algebras as algebras of continuous functions; * the fact that for commutative C*… …   Wikipedia

  • Gelfand-Transformation — Die Gelfand Transformation (nach Israel Gelfand) ist das wichtigste Instrument in der Theorie der kommutativen Banach Algebren. Sie bildet eine kommutative Banachalgebra A in eine Algebra stetiger Funktionen ab. Jedem a aus A wird eine stetige… …   Deutsch Wikipedia

  • Gelfand-Spektrum — Banach Algebra berührt die Spezialgebiete Mathematik Topologie Abstrakte Algebra Lineare Algebra Funktionalanalysis ist Spezialfall von Abels …   Deutsch Wikipedia

  • Gelfand–Naimark theorem — In mathematics, the Gelfand–Naimark theorem states that an arbitrary C* algebra A is isometrically * isomorphic to a C* algebra of bounded operators on a Hilbert space. This result was a significant point in the development of the theory of C*… …   Wikipedia

  • Gelfand-Naimark-Segal construction — In functional analysis, given a C* algebra A , the Gelfand Naimark Segal construction establishes a correspondence between cyclic * representations of A and certain linear functionals on A (called states ). The correspondence is shown by an… …   Wikipedia

  • Gelfand-Mazur theorem — In operator theory, the Gelfand Mazur theorem is a theorem named after Israel Gelfand and Stanisław Mazur which states::A complex Banach algebra, with unit 1, in which every nonzero element is invertible is isomorphic to the complex numbers.In… …   Wikipedia

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