Inequalities of singular values and unitarily invariant norms for sums and products of matrices

Positivity（2024）

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摘要

In this work, we investigate inequalities of singular values and unitarily invariant norms for sums and products of matrices. First, we prove that s^2 (XY^* )≺ _wlogs ((X^*X)^q(Y^*Y)(X^*X)^1-q ) , where X, Y∈ M_n(C) and 0

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关键词

Singular values,Majorization,Positive semidefinite matrices,Unitarily invariant norms,15A60,47A30

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