Unitarily invariant norm inequalities involving Heron and Heinz means

DOI10.1186/1029-242X-2014-288zbMath1308.47009WikidataQ59323326 ScholiaQ59323326MaRDI QIDQ2263361

Junliang Wu, Haisong Cao

Publication date: 18 March 2015

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

zbMATH Keywords

positive definite matricesconvex functionunitarily invariant normHeron meansHeinz means

Mathematics Subject Classification ID

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

Related Items (1)

Extensions of the arithmetic–geometric means and Young's norm inequalities to accretive operators, with applications

Cites Work

• On the convexity of the Heinz means
• Some inequalities for positive linear maps
• Some inequalities for unitarily invariant norms of matrices
• Further refinements of the Heinz inequality
• On some inequalities for unitarily invariant norms
• On improved arithmetic-geometric mean and Heinz inequalities for matrices
• Reverses and variations of Heinz inequality
• Inequalities for Unitarily Invariant Norms
• Complete interpolation of matrix versions of Heron and Heinz means

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