# Operator Isomorphisms on Hilbert Space Tensor Products

@article{Gudder2020OperatorIO, title={Operator Isomorphisms on Hilbert Space Tensor Products}, author={Stanley P. Gudder}, journal={arXiv: Functional Analysis}, year={2020} }

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…

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