Strong monotonicity for various means

DOI10.1016/j.jfa.2014.07.021zbMath1314.47023OpenAlexW1980324863MaRDI QIDQ403304

Hideki Kosaki

Publication date: 29 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.07.021

zbMATH Keywords

positive definite functionLévy-Khintchine formulaoperator meaninfinitely divisible function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (6)

Some families of operator norm inequalities ⋮ Positive definiteness and infinite divisibility of certain functions of hyperbolic cosine function ⋮ The induced Aluthge transformations ⋮ Asymptotics of compound means ⋮ A certain generalization of the Heinz inequality for positive operators ⋮ Positive definiteness of certain functions and comparison of power difference and Heinz means

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