When does Ando-Hiai inequality hold?

DOI10.1016/j.laa.2017.11.030zbMath1489.47031OpenAlexW2772641407MaRDI QIDQ1688916

Shuhei Wada

Publication date: 12 January 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.2017.11.030

zbMATH Keywords

operator monotoneoperator meanAndo-Hiai inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (8)

Ando-Hiai Inequality: Extensions and Applications ⋮ Perspectives, Means and their Inequalities ⋮ Near order and metric-like functions on the cone of positive definite matrices ⋮ Ando–Hiai-type inequalities for operator means and operator perspectives ⋮ Pusz-Woronowicz functional calculus and extended operator convex perspectives ⋮ Ando–Hiai type inequalities for multivariate operator means ⋮ Variants of Ando–Hiai inequality for operator power means ⋮ VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS

Cites Work

• Unnamed Item
• On a reverse of Ando-Hiai inequality
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Some ways of constructing Furuta-type inequalities
• Operator functions implying generalized Furuta inequality

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