In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H, such that the functional sending an operator T to the complex number <Tx, y> is continuous for any vectors x and y in the Hilbert space.
Equivalently, a net Ti ⊂ B(H) of bounded operators converges to T ∈ B(H) in WOT if for all y* in H* and x in H, the net y*(Tix) converges to y*(Tx).
Read more about Weak Operator Topology: Relationship With Other Topologies On B(H), Other Properties
Famous quotes containing the word weak:
“After all, one knows one’s weak points so well, that it’s rather bewildering to have the critics overlook them & invent others.”
—Edith Wharton (1862–1937)