In algebra, the bicommutant of a subset S of a semigroup (such as an algebra or a group) is the commutant of the commutant of that subset. It is also...
2 KB (410 words) - 23:33, 12 August 2023
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 set...
7 KB (928 words) - 14:43, 22 July 2024
sequence the bicommutant aspect is implicit in the use of Ext functors, the derived functors of Hom-functors; if there is a bicommutant aspect, taken...
3 KB (515 words) - 13:59, 3 December 2019
S ′′′′′ {\displaystyle S'=S'''=S'''''} ; i.e. a commutant is its own bicommutant. Source: The centralizer and normalizer of S are both subgroups of G...
14 KB (2,097 words) - 17:21, 1 June 2024
Finite-dimensional von Neumann algebra von Neumann architecture von Neumann bicommutant theorem von Neumann bounded set Von Neumann bottleneck von Neumann cardinal...
4 KB (376 words) - 15:09, 16 December 2023
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 to...
20 KB (2,829 words) - 11:21, 17 April 2024
Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as being equal to the bicommutant. After...
204 KB (23,308 words) - 23:22, 15 August 2024
von Neumann algebra von Neumann double commutant theorem Commutant, bicommutant Topological ring Noncommutative geometry Disk algebra Colombeau algebra...
5 KB (475 words) - 23:38, 19 July 2023
Plasma physics Anatoly Vlasov Voce's law Physics E. Voce Von Neumann bicommutant theorem Von Neumann entropy von Neumann paradox Von Neumann ergodic theorem...
21 KB (100 words) - 15:29, 13 July 2023
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
(measure theory) Viviani's theorem (Euclidean geometry) Von Neumann bicommutant theorem (functional analysis) Von Neumann's theorem (operator theory)...
73 KB (6,015 words) - 12:17, 2 August 2024
conclusion still refers to all central simple subrings of R. The Von Neumann bicommutant theorem states that a *-subalgebra A of the algebra of bounded operators...
7 KB (920 words) - 00:23, 6 November 2022