Gelfand is a surname meaning "

elephant Elephants are the largest living land animals. Three living species are currently recognised: the African bush elephant ('' Loxodonta africana''), the African forest elephant (''L. cyclotis''), and the Asian elephant ('' Elephas maximus ...

" in the

Yiddish language Yiddish, historically Judeo-German, is a West Germanic language historically spoken by Ashkenazi Jews. It originated in 9th-century Central Europe, and provided the nascent Ashkenazi community with a vernacular based on High German fused with ...

, and may refer to:

People

Alan Gelfand Alan "Ollie" Gelfand (born April 30, 1963) is an American skateboarder, racing driver, and businessman credited with inventing the Ollie (skateboarding), ollie, the foundational skateboarding trick. Early life Alan Gelfand was born in New Yor ...

, the inventor of the ollie, a skateboarding move * Alan E. Gelfand, a statistician *

Boris Gelfand Boris Abramovich Gelfand (; born 24 June 1968) is a Belarusian-Israeli chess player. A six-time World Championship candidate (1991, 1994–95, 2002, 2007, 2011, 2013), he won the Chess World Cup 2009 and the 2011 Candidates Tournament, mak ...

, a chess grandmaster *

Israel Gelfand Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (, , ; – 5 October 2009) was a prominent Soviet and American mathematician, one of the greatest mathematicians of the 20th century, biologist, teache ...

, a mathematician, *

Mikhail Gelfand Mikhail Sergeyevich Gelfand (; born 25 October 1963) is a Russian Bioinformaticist and molecular biologist. He is a member of Academia Europaea, Vice President Biomedical Research of Skolkovo Institute of Science and Technology, one of the foun ...

, a molecular biologist and bioinformacisist, a grandson of Israel Gelfand * Vladimir Gelfand, a Soviet-Jewish writer

Notions in mathematics

Named after

: * the

Gelfand representation In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: * a way of representing commutative Banach algebras as algebras of continuous functions; * the fact that for commutative C*-al ...

allows a complete characterization of commutative C*-algebras as algebras of continuous complex-valued functions * the

Gelfand–Naimark–Segal construction In functional analysis, a discipline within mathematics, 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

Gelfand–Naimark theorem In mathematics, the Gelfand–Naimark theorem states that an arbitrary C*-algebra ''A'' is isometrically *-isomorphic to a C*-subalgebra of bounded operators on a Hilbert space. This result was proven by Israel Gelfand and Mark Naimark in 1943 ...

* the

Gelfand–Mazur theorem In operator theory, the Gelfand–Mazur theorem is a theorem named after Israel Gelfand and Stanisław Mazur which states that a Banach algebra with unit over the complex numbers in which every nonzero element is invertible is isometrically isomorp ...

* a

Gelfand pair In mathematics, a Gelfand pair is a pair (''G'', ''K'') consisting of a group ''G'' and a subgroup ''K'' (called an Euler subgroup of ''G'') that satisfies a certain property on restricted representations. The theory of Gelfand pairs is closely re ...

, a pair (''G'',''K'') consisting of a locally compact unimodular group ''G'' and a compact subgroup ''K'' * a

Gelfand triple In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study s ...

, a construction designed to link the distribution (test function) and square-integrable aspects of functional analysis

People

Notions in mathematics

See also