Let $H$ be an infinite dimensional complex Hilbert space. Is there a $C^*$ subalgebra $A$ of $B(H)$ such that $A$ is not an idea but it is $C^*$-isomorphic to $\mathbb{K}$, the algebra of compact opetators?
2026-03-28 00:28:55.1774657735
A non ideal feature of compact operators
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