Further refinements of the Tan-Xie inequality for sector matrices and its applications

DOI10.7153/jmi-2023-17-78zbMath1526.15020OpenAlexW4387716889MaRDI QIDQ6078459

Yonghui Ren

Publication date: 24 October 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2023-17-78

zbMATH Keywords

positive linear mapssector matrices

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60) Miscellaneous inequalities involving matrices (15A45) Linear transformations, semilinear transformations (15A04)

Cites Work

• Notes on matrix arithmetic-geometric mean inequalities
• An extension of the AM-GM-HM inequality
• Relative entropy and Tsallis entropy of two accretive operators
• Extension of a result of Haynsworth and Hartfiel
• A matrix decomposition and its applications
• On a reverse of the Tan-Xie inequality for sector matrices and its applications
• Singular value inequalities for matrices with numerical ranges in a sector
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