Definition 37.3.8 (Von Neumann Algebra).label Let $H$ be a complex Hilbert space and $A \subset B(H)$ be a $C^{*}$-subalgebra, then $A$ is a von Neumann algebra acting on $H$ if $A$ is closed in the strong operator topology.
Definition 37.3.8 (Von Neumann Algebra).label Let $H$ be a complex Hilbert space and $A \subset B(H)$ be a $C^{*}$-subalgebra, then $A$ is a von Neumann algebra acting on $H$ if $A$ is closed in the strong operator topology.
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