Definition 8.11.4 (Strong 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 $L(E; F)$ is the strong operator topology.

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