Some inequalities for unitarily invariant norms of matrices

DOI10.1186/1029-242X-2011-10zbMath1310.15036OpenAlexW1976910869WikidataQ59269979 ScholiaQ59269979MaRDI QIDQ1951821

Youyi Jiang, Shaoheng Wang, Li-Min Zou

Publication date: 24 May 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-10

zbMATH Keywords

convex functioninequalitypositive semidefinite matricesunitarily invariant norms

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm ⋮ Improved Heinz inequality and its application ⋮ Zhan's inequality on A-G mean inequalities ⋮ Unitarily invariant norm inequalities involving Heron and Heinz means ⋮ On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables

Cites Work

• On the convexity of the Heinz means
• Improved Young and Heinz inequalities for matrices
• Norm inequalities for fractional powers of positive operators
• Notes on matrix arithmetic-geometric mean inequalities
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Inequalities for Unitarily Invariant Norms

This page was built for publication: Some inequalities for unitarily invariant norms of matrices