In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative...

theory; the Gelfand–Naimark theorem; the Gelfand–Naimark–Segal construction; Gelfand–Shilov spaces; the Gelfand–Pettis integral; the representation theory...

and πf is the irreducible representation associated to f by the GNS construction. Thus the Gelfand–Naimark representation acts on the Hilbert direct...

construction of the *-representation from the state. It is named for Israel Gelfand, Mark Naimark, and Irving Segal. A *-representation of a C*-algebra A...

In representation theory, a branch of mathematics, the Gelfand–Graev representation is a representation of a reductive group over a finite field introduced...

of Israel Gelfand Vladimir Gelfand, a Soviet-Jewish writer Notions in mathematics (named after Israel Gelfand): the Gelfand representation, in mathematics...

homeomorphism) locally compact Hausdorff space X. This is shown using the Gelfand representation. The notion of local compactness is important in the study of topological...

The Gelfand–Naimark–Segal construction embeds any C*-algebra in an algebra of bounded operators on some Hilbert space. The Gelfand representation (also...

normal, the Gelfand representation is isometric; in particular, it is injective and its image is closed. But the image of the Gelfand representation is dense...

definition of Gelfand pair is roughly that the restriction to K of any irreducible representation of G contains the trivial representation of K with multiplicity...