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 {\displaystyle H}, such that the functional sending an operator T {\displaystyle T} to the complex number ⟨ T x, y ⟩ {\displaystyle \langle Tx,y\rangle } is continuous for any vectors x {\displaystyle x} and y {\displaystyle y} in the Hilbert space. Wikipedia