Let $H$ be a separable Hilbert space. What is the closure of the set of Hilbert-Schmidt operators on $H$ in the set of bounded, linear operators on $H$ with respect to the strong operator topology? A reference would be muchly appreciated.
Best, Luke
Let $H$ be a separable Hilbert space. What is the closure of the set of Hilbert-Schmidt operators on $H$ in the set of bounded, linear operators on $H$ with respect to the strong operator topology? A reference would be muchly appreciated.
Best, Luke