Definition 41.10.2 (Point-Weak* Topology).label Let $E$ be a Banach space and $H$ be a Hilbert space. Identify
\[L(S; B(H)) = L(S; (H \otimes_{\pi} H)^{*}) = [S \otimes_{\pi} (H \otimes_{\pi} H)]^{*}\]
then the weak* topology on $L(E; B(H))$ induced by $S \otimes_{\pi} (H \otimes_{\pi} H)$ is the point-weak* topology/BW topology on $L(E; B(H))$.
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