Unitarily invariant norm inequalities for matrix means

DOI10.1007/s41478-020-00286-2zbMath1501.15016OpenAlexW3120998524MaRDI QIDQ2047346

Fazhen Jiang, Hongliang Zuo

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00286-2

zbMATH Keywords

Young inequalityHeinz inequalityCauchy-Schwartz inequalityunitarily invariant norm inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Miscellaneous inequalities involving matrices (15A45) Functional inequalities, including subadditivity, convexity, etc. (39B62) Other analytical inequalities (26D20)

Cites Work

• Advanced refinements of Young and Heinz inequalities
• On the convexity of the Heinz means
• Some inequalities for norms on matrices and operators
• Matrix mixed mean inequalities
• Norm inequalities for fractional powers of positive operators
• A family of refinements of Heinz inequalities of matrices
• Simple proof and refinement of Hermite-Hadamard inequality
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Inequalities involving unitarily invariant norms and operator monotone functions

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