Gelfand Naimark Theorem
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Gelfand Naimark Theorem
Gelfand is a surname meaning "elephant" in the Yiddish language, and may refer to: People * Alan Gelfand, the inventor of the ollie, a skateboarding move * Alan E. Gelfand, a statistician * Boris Gelfand, a chess grandmaster * Israel Gelfand, a mathematician, * Mikhail Gelfand, a molecular biologist and bioinformacisist, a grandson of Israel Gelfand * Vladimir Gelfand, a Soviet-Jewish writer Notions in mathematics Named after Israel Gelfand: * the Gelfand representation allows a complete characterization of commutative C*-algebras as algebras of continuous complex-valued functions * the Gelfand–Naimark–Segal construction * the Gelfand–Naimark theorem * 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, a pair (''G'',''K'') c ...
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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''). They are the only surviving members of the family Elephantidae and the order Proboscidea; extinct relatives include mammoths and mastodons. Distinctive features of elephants include a long proboscis called a trunk, tusks, large ear flaps, pillar-like legs, and tough but sensitive grey skin. The trunk is prehensile, bringing food and water to the mouth and grasping objects. Tusks, which are derived from the incisor teeth, serve both as weapons and as tools for moving objects and digging. The large ear flaps assist in maintaining a constant body temperature as well as in communication. African elephants have larger ears and concave backs, whereas Asian elephants have smaller ears and convex or level backs. Elephants are scatter ...
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