Let $H$ and $K$ be two Hilbert spaces. We have a natural inclusion of $B(H)\otimes B(K)$ into $B(H\otimes_2 K)$ where $H\otimes_2 K$ is the Hilbertian tensor product. Is $B(H)\otimes B(K)$ dense in $B(H\otimes_2 K)$?
2026-04-11 20:11:50.1775938310
Minimal tensor product of $B(H)$
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