Definition 8.2.8 (Locally Bounded). Let $E$ be a TVS over $K \in \RC$, then $E$ is locally bounded if there exists $U \in \cn^{o}(0)$ bounded.
Definition 8.2.8 (Locally Bounded). Let $E$ be a TVS over $K \in \RC$, then $E$ is locally bounded if there exists $U \in \cn^{o}(0)$ bounded.