Some inequalities for unitarily invariant norms

DOI10.7153/jmi-06-59zbMath1261.15027OpenAlexW3146245718MaRDI QIDQ4904283

Xingkai Hu

Publication date: 28 January 2013

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

Full work available at URL: http://files.ele-math.com/articles/jmi-06-59.pdf

zbMATH Keywords

Cauchy-Schwarz inequalitypositive semi-definite matricesHeinz inequalityHilbert-Schmidt normunitarly invariant norms

Mathematics Subject Classification ID

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

Related Items (7)

A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm ⋮ Weighted arithmetic-geometric operator mean inequalities ⋮ Unification of the arithmetic-geometric mean and Hölder inequalities for unitarily invariant norms ⋮ Some trace inequalities for matrix means ⋮ Some refinements of operator reverse AM-GM mean inequalities ⋮ On the \(S\)-matrix conjecture ⋮ More refinements of the operator reverse AM-GM inequality for positive linear maps

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