New proofs on two recent inequalities for unitarily invariant norms

DOI10.1186/s13660-020-02402-zzbMath1503.15026OpenAlexW3029418652WikidataQ113753477 ScholiaQ113753477MaRDI QIDQ2069438

Junjian Yang, Lin-Zhang Lu

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02402-z

zbMATH Keywords

norm inequalityHölder inequalityarithmetic-geometric mean inequalityunitarily invariant norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Inequalities for C-S seminorms and Lieb functions
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• Interpolating inequalities for functions of positive semidefinite matrices
• Hölder-type inequalities involving unitarily invariant norms
• A note on interpolation between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• Interpolating inequalities related to a recent result of Audenaert
• On the Singular Values of a Product of Operators
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Bruhat Decomposition and Numerical Stability
• Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• Matrix inequalities

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