DDVV-type inequality for Hermitian matrices
Jianquan Ge, Song Xu, Hangyu You, Yi Zhou
TL;DR
This paper extends DDVV-type inequalities involving the Frobenius norm of commutators from real matrices to Hermitian and skew-Hermitian matrices, broadening their applicability in matrix analysis.
Contribution
The paper introduces a generalized DDVV-type inequality for Hermitian and skew-Hermitian matrices, expanding the scope of previous inequalities.
Findings
Established a new DDVV-type inequality for Hermitian matrices
Extended the inequality to skew-Hermitian matrices
Enhanced understanding of matrix commutator norms
Abstract
In this paper we extend DDVV-type inequalities involving the Frobenius norm of commutators from real symmetric and skew-symmetric matrices to Hermitian and skew-Hermitian matrices.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical Inequalities and Applications · Mathematics and Applications