Positive linear maps on normal matrices
Functional Analysis
2020-06-18 v1
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.
Keywords
Cite
@article{arxiv.2006.09692,
title = {Positive linear maps on normal matrices},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:2006.09692},
year = {2020}
}