If I have a Hilbert Space $\mathcal{H}$, then I can examine operators $A:\mathcal{H} \to \mathcal{H}$.
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I can also examine functions $f$ of operators $A \mapsto f(A)$.
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Is there a technical name for the space (let's say $\mathcal{V}$) of all operators on $\mathcal{H}$? (so I could write $f:\mathcal{V} \to \mathcal{V}$)