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...

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...

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...

S ′′′′′ {\displaystyle S'=S'''=S'''''} ; i.e. a commutant is its own bicommutant. Source: The centralizer and normalizer of S {\displaystyle S} are both...

Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as being equal to the bicommutant. After...

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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...

von Neumann algebra von Neumann double commutant theorem Commutant, bicommutant Topological ring Noncommutative geometry Disk algebra Colombeau algebra...

Plasma physics Anatoly Vlasov Voce's law Physics E. Voce Von Neumann bicommutant theorem Von Neumann entropy von Neumann paradox Von Neumann ergodic theorem...

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...

theorem (operator theory) Tomita's theorem (operator algebras) Von Neumann bicommutant theorem (functional analysis) Von Neumann's theorem (operator theory)...

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...