functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H {\displaystyle...

mathematics, weak topology is an alternative term for certain initial topologies, often on topological vector spaces or spaces of linear operators, for instance...

topology.) The σ-weak topology or ultraweak topology or weak-* operator topology or weak-* topology or weak topology or σ(B(H), B(H)*) topology is defined by...

operator topology if and only if ‖ T i x − T x ‖ → 0 {\displaystyle \|T_{i}x-Tx\|\to 0} for each x in H. The SOT is stronger than the weak operator topology...

ultraweak topology, also called the weak-* topology, or weak-* operator topology or σ-weak topology, is a topology on B(H), the space of bounded operators on...

contains its weak operator closure. This follows directly from the weak operator topology being coarser than the strong operator topology: for every point...

norm bounded sets: The weak operator topology on L∞(X, μ); The ultraweak operator topology on L∞(X, μ); The topology of weak* convergence on L∞(X, μ)...

Strong operator topology Topologies on spaces of linear maps Ultrastrong topology Ultraweak topology/weak-* operator topology Weak operator topology Inductive...

Then the topology τ1 is said to be a coarser (weaker or smaller) topology than τ2, and τ2 is said to be a finer (stronger or larger) topology than τ1....

*-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. It is a special type...

density Topologies on the set of operators on a Hilbert space norm topology ultrastrong topology strong operator topology weak operator topology weak-star...

the final topology on the disjoint union the topology arising from a norm the strong operator topology the strong topology (polar topology), which subsumes...

separable topological group, Φ is continuous in the strong (or weak) operator topology if and only if U is. In this case functions supported on a countable...

linear operators on a complex Hilbert space with two additional properties: A is a topologically closed set in the norm topology of operators. A is closed...

a range of locally convex topologies. Such topologies are called polar topologies. The weak topology is the weakest topology of this range. Throughout...

Terytorialnej, a Polish reserve force Wot, Nepal Wang-an Airport, Taiwan Weak operator topology, in functional analysis Web of Things, objects connected to the...

normed vector space is compact in the weak* topology. A common proof identifies the unit ball with the weak-* topology as a closed subset of a product of...

structure. Vertex operator algebra Von Neumann algebra: a *-algebra of operators on a Hilbert space equipped with the weak operator topology. Algebraic structures...

In general topology, an Alexandrov topology is a topology in which the intersection of an arbitrary family of open sets is open (while the definition of...

C*-subalgebra of bounded operators on HU. The enveloping von Neumann algebra of A is defined to be the closure of πU(A) in the weak operator topology. It is sometimes...

linear operators or closed operators, and consideration may be given to nonlinear operators. The study, which depends heavily on the topology of function...

properties. They are non-selfadjoint algebras, are closed in the weak operator topology and are reflexive. Nest algebras are among the simplest examples...

In mathematics, weak convergence in a Hilbert space is the convergence of a sequence of points in the weak topology. A sequence of points ( x n ) {\displaystyle...

{\displaystyle A} , the closure of Φ ( A ) {\displaystyle \Phi (A)} in the weak operator topology is called the enveloping von Neumann algebra of A {\displaystyle...

realised as Jordan algebras of self-adjoint operators on a Hilbert space closed in the weak operator topology. Of these the spin factors can be constructed...

converge to the projector ET in the strong operator topology of Lp if 1 ≤ p ≤ ∞, and in the weak operator topology if p = ∞. More is true if 1 < p ≤ ∞ then...

calculus has a larger range, that is the closure of C(T) in the weak operator topology, a (still abelian) von Neumann algebra. We can also define the functional...

in a Hilbert space (as opposed to weak convergence). The convergence of operators in the strong operator topology. This disambiguation page lists articles...

*-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. The von Neumann bicommutant...

open subsets, any topology on X {\displaystyle X} can alternatively be determined by a closure operator or by an interior operator. Specifically, the...