Definition 8.11.5 (Weak Operator Topology). Let $E, F$ be TVSs over $K \in \RC$, $\fF \subset 2^{E}$ be the collection of finite subsets of $E$, then the $\fF$-uniform topology on $L(E; F_{w})$ is the weak operator topology.

The space $L_{w}(E; F) = L_{s}(E; F_{w})$ denotes $L(E; F)$ equipped with the weak operator topology.