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12 votes

Are Hilbert-Schmidt operators on separable Hilbert spaces "Hilbert Schmidt" on the space of ...

No it's not. If $s:H\to H$ is a rank one projection, then $s\otimes\mathrm{id}:H\otimes \overline H\to H\otimes \overline H$ is a projection of rank $\dim(H)$. In particular, if $H$ is infinite dime …
André Henriques's user avatar
6 votes

The definition of unitary fusion category

Given a unitary fusion category, there is more than one natural norm on the (finite dimensional) hom-space $Hom(X,Y)$. There is the operator norm: That's the norm under which the unitary fusion categ …
André Henriques's user avatar