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arXiv · 2006.09692

Positive linear maps on normal matrices

Jean-Christophe Bourin·Eun-Young Lee
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Abstract

For a positive linear map F and a normal matrix N, we show that |F(N)| is bounded by some simple linear combinations in the unitary orbit of F(|N|). Several elegant sharp inequalities are derived, especially for the Schur product.

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Jean-Christophe Bourin, Eun-Young Lee. 2020-06-17. Positive linear maps on normal matrices. https://arxiv.org/abs/2006.09692

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