the von Neumann bicommutant theorem relates the closure of a set of bounded operators on a Hilbert space in certain topologies to the bicommutant of that...
7 KB (928 words) - 14:43, 22 July 2024
von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as being equal to the bicommutant....
208 KB (23,699 words) - 05:45, 29 May 2025
The Von Neumann bicommutant theorem states that a *-subalgebra A of the algebra of bounded operators B(H) on a Hilbert space H is a von Neumann algebra...
7 KB (920 words) - 00:23, 6 November 2022
where D is a division ring. This result is related to the Von Neumann bicommutant theorem, which states that, for a *-algebra A of operators on a Hilbert...
9 KB (1,139 words) - 16:47, 22 August 2023
Finite-dimensional von Neumann algebra von Neumann architecture von Neumann bicommutant theorem von Neumann bounded set Von Neumann bottleneck von Neumann cardinal...
4 KB (337 words) - 08:47, 13 April 2025
S^{\prime \prime }} . The bicommutant is particularly useful in operator theory, due to the von Neumann double commutant theorem, which relates the algebraic...
2 KB (410 words) - 23:33, 12 August 2023
Neumann bicommutant theorem (functional analysis) Von Neumann's theorem (operator theory) Caristi fixed-point theorem (fixed points) Envelope theorem...
78 KB (6,293 words) - 12:16, 2 May 2025
Von Neumann bicommutant theorem Von Neumann entropy von Neumann paradox Von Neumann ergodic theorem Von Neumann universe Von Neumann neighborhood Von...
21 KB (100 words) - 11:10, 31 January 2025
C*-algebra (section Von Neumann algebras)
non-degenerate representations π of A the von Neumann algebra π(A)″ (that is, the bicommutant of π(A)) is a type I von Neumann algebra. In fact it is sufficient...
20 KB (2,830 words) - 09:30, 14 January 2025
Gelfand–Naimark theorem Gelfand–Naimark–Segal construction Von Neumann algebra Abelian von Neumann algebra von Neumann double commutant theorem Commutant,...
5 KB (475 words) - 23:38, 19 July 2023