{\displaystyle C^{*}} -algebra A {\displaystyle A} , the Gelfand–Naimark–Segal construction establishes a correspondence between cyclic ∗ {\displaystyle...

bounded operators Naimark's dilation theorem on extensions of symmetric operators The Gelfand–Naimark–Segal construction (the GNS construction) establishing...

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

complex-valued functions the Gelfand–Naimark–Segal construction the Gelfand–Naimark theorem the Gelfand–Mazur theorem a Gelfand pair, a pair (G,K) consisting...

Irving Ezra Segal (1918–1998) was an American mathematician known for work on theoretical quantum mechanics. He shares credit for what is often referred...

as algebras of bounded operators on a Hilbert space by the Gelfand-Naimark-Segal construction and the relations must prescribe a uniform bound on the norm...

the field of functional analysis Naimark's dilation theorem Gelfand–Naimark theorem Gelfand–Naimark–Segal construction Neumark (surname) This page lists...

through W . {\displaystyle W.} This construction is used in numerous contexts. The Gelfand–Naimark–Segal construction is a particularly important example...

space" can be broadened to accommodate these states (see the Gelfand–Naimark–Segal construction or rigged Hilbert spaces). The bra–ket notation continues...

of algebras of observables. See State on a C*-algebra and Gelfand–Naimark–Segal construction for more details. Atomic electron transition Bloch sphere...

special relativity – Generalization of special relativity Gelfand–Naimark–Segal construction – Correspondence in functional analysis Group field theory –...

an algebra of operators on a separable Hilbert space. The Gelfand-Naimark-Segal construction implies that the Calkin algebra is isomorphic to an algebra...

theorem Gelfand–Naimark–Segal construction Siegel modular form Segal space Newell–Whitehead–Segel equation Siegel zero Chagall (disambiguation) Segal Segel...

Gelfand–Naimark–Segal construction Jordan operator algebra Doran & Belfi 1986, pp. 5–6, Google Books. Doran & Belfi 1986, p. 6, Google Books. Segal 1947...

reflexive operator algebra Calkin algebra Gelfand representation Gelfand–Naimark theorem Gelfand–Naimark–Segal construction Von Neumann algebra Abelian von Neumann...

corresponding GNS representation of A is a factor. Quantum state Gelfand–Naimark–Segal construction Quantum mechanics Quantum state Density matrix Lin, H. (2001)...

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

probability theory. In this case the method goes by the name of Gelfand–Naimark–Segal construction. This is analogous to the two approaches to measure and integration...

Cayley–Dickson construction Proj construction Grothendieck group Gelfand–Naimark–Segal construction Ultraproduct ADHM construction Burnside ring Simplicial set...

Given a there is a pure state f such that |f(a)| = ||a||. Gelfand–Naimark–Segal construction: If a JB algebra is isomorphic to the self-adjoint n by n...

The existence of cyclic vectors is guaranteed by the Gelfand–Naimark–Segal (GNS) construction. Given a Hilbert space H and a linear space A of bounded...

that H is constructed from ϕ {\displaystyle \phi } using the Gelfand–Naimark–Segal construction. Since Ω is separating, ϕ {\displaystyle \phi } is faithful...

Stability, an unrecognized provisional government of Libya Gelfand–Naimark–Segal construction, a theorem in functional analysis General News Service, a...

operators on G/K (see below). In fact, as a special case of the Gelfand–Naimark–Segal construction, there is one-one correspondence between irreducible representations...

the results below preceded Stinespring's theorem. The Gelfand–Naimark–Segal (GNS) construction is as follows. Let H in Stinespring's theorem be 1-dimensional...

of the Weyl commutation relations. By Schur's lemma and the Gelfand–Naimark construction, the matrix coefficient of any vector determines the vector up...

now known as von Neumann algebras. In the 1940s, Israel Gelfand, Mark Naimark and Irving Segal gave a definition of a kind of operator algebras called...

Homology with local coefficients. 1943 Israel Gelfand–Mark Naimark Gelfand–Naimark theorem (sometimes called Gelfand isomorphism theorem): The category Haus...