Unification of the arithmetic-geometric mean and Hölder inequalities for unitarily invariant norms

DOI10.1016/j.laa.2018.09.030zbMath1402.15017OpenAlexW2896546829MaRDI QIDQ1629839

Li-Min Zou

Publication date: 12 December 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.09.030

zbMATH Keywords

Hölder inequalityarithmetic-geometric mean inequalityunitarily invariant norms

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

On some inequalities related to Heinz means for unitarily invariant norms ⋮ A matrix inequality for unitarily invariant norms ⋮ A generalized arithmetic-geometric mean-type inequality of measurable operator ⋮ New proofs on two recent inequalities for unitarily invariant norms ⋮ A generalized Hölder-type inequality for measurable operators

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• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• A note on Audenaert interpolation inequality
• Some inequalities for unitarily invariant norms
• Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities

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