Definition 8.4.3 (Weak Topology). Let $E$ be a TVS over $K \in \RC$, then the weak topology on $E$ is the initial topology generated by $E^{*}$. The space $E$ equipped with its weak topology is denoted $E_{w}$.
Definition 8.4.3 (Weak Topology). Let $E$ be a TVS over $K \in \RC$, then the weak topology on $E$ is the initial topology generated by $E^{*}$. The space $E$ equipped with its weak topology is denoted $E_{w}$.