discipline within mathematics, given a C*-algebra A, the Gelfand–Naimark–Segal construction establishes a correspondence between cyclic *-representations...
14 KB (2,010 words) - 20:29, 13 July 2024
bounded operators Naimark's dilation theorem on extensions of symmetric operators The Gelfand–Naimark–Segal construction (the GNS construction) establishing...
9 KB (989 words) - 16:44, 31 October 2023
Banach algebra theory; the Gelfand–Naimark theorem; the Gelfand–Naimark–Segal construction; Gelfand–Shilov spaces; the Gelfand–Pettis integral; the representation...
25 KB (2,019 words) - 20:18, 7 May 2024
complex-valued functions the Gelfand–Naimark–Segal construction the Gelfand–Naimark theorem the Gelfand–Mazur theorem a Gelfand pair, a pair (G,K) consisting...
1 KB (180 words) - 14:54, 20 September 2023
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...
6 KB (976 words) - 10:27, 22 February 2021
the field of functional analysis Naimark's dilation theorem Gelfand–Naimark theorem Gelfand–Naimark–Segal construction Neumark (surname) This page lists...
509 bytes (94 words) - 04:51, 11 April 2020
Gelfand–Naimark–Segal construction Jordan operator algebra Doran & Belfi 1986, pp. 5–6, Google Books. Doran & Belfi 1986, p. 6, Google Books. Segal 1947...
20 KB (2,829 words) - 11:21, 17 April 2024
Irving Ezra Segal (1918–1998) was an American mathematician known for work on theoretical quantum mechanics. He shares credit for what is often referred...
14 KB (1,445 words) - 21:10, 11 June 2024
reflexive operator algebra Calkin algebra Gelfand representation Gelfand–Naimark theorem Gelfand–Naimark–Segal construction Von Neumann algebra Abelian von Neumann...
5 KB (475 words) - 23:38, 19 July 2023
sections. The Gelfand–Naimark–Segal construction embeds any C*-algebra in an algebra of bounded operators on some Hilbert space. The Gelfand representation...
6 KB (669 words) - 20:52, 13 July 2024