Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator Isomorphisms on Hilbert Space Tensor Products   This article presents an isomorphism between two operator algebras $L_1$ and
$L_2$ where $L_1$ is the set of operators on a space of Hilbert-Schmidt
operators and $L_2$ is the set of operators on a tensor product space. We next
compare our isomorphism to a well-known result called Choi's isomorphism
theorem. The advantage of Choi's isomorphism is that it takes completely
positive maps to positive operators. One advantage of our isomorphism is that
it applies to infinite dimensional Hilbert spaces, while Choi's isomorphism
only holds for finite dimensions. Also, our isomorphism preserves operator
products while Choi's does not. We close with a brief discussion on some uses
of our isomorphism.

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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an