首页|Unitarily invariant norm inequalities for positive semidefinite matrices
Unitarily invariant norm inequalities for positive semidefinite matrices
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NSTL
Elsevier
In this paper, we prove several unitarily invariant norm inequalities for positive semidefinite matrices. Some of these results give generalizations of earlier known inequalities. Among other applications of our inequalities, we obtain the commutator inequality parallel to XY - YX parallel to <= parallel to X parallel to parallel to Y parallel to + 1/2 parallel to X*Y - YX*parallel to for all n x ncomplex matrices X, Y. Here, parallel to.parallel to denotes the spectral norm. (C) 2021 Elsevier Inc. All rights reserved.
NSTL
Elsevier
