On a reverse of the Tan-Xie inequality for sector matrices and its applications

DOI10.7153/jmi-2021-15-97zbMath1494.15018arXiv2001.00683OpenAlexW3215479525MaRDI QIDQ5028928

Shigeru Furuichi, Leila Nasiri

Publication date: 11 February 2022

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

Full work available at URL: https://arxiv.org/abs/2001.00683

zbMATH Keywords

numerical rangeKantorovich constantdeterminant and norm inequalitysector and accretive matrices

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Further refinements of the Tan-Xie inequality for sector matrices and its applications ⋮ Some generalizations of numerical radii and Schatten p-norms inequalities

Cites Work

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• Inequalities for the Heinz mean of sector matrices involving positive linear maps
• Some generalizations of inequalities for sector matrices
• Notes on matrix arithmetic-geometric mean inequalities
• Some reverse mean inequalities for operators and matrices
• 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
• Some inequalities for sector matrices
• A matrix decomposition and its applications
• Squaring a reverse AM-GM inequality
• Improved Kantorovich and Wielandt operator inequalities for positive linear maps
• A note on sectorial matrices
• Singular value inequalities for matrices with numerical ranges in a sector
• Advances in Mathematical Inequalities
• Refinements of a reversed AM–GM operator inequality

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