Some inequalities of operator monotone functions

DOI10.7153/JMI-08-58zbMath1321.47018OpenAlexW2315508265MaRDI QIDQ2940843

Hongliang Zuo, Guangcai Duan

Publication date: 21 January 2015

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

Full work available at URL: http://files.ele-math.com/articles/jmi-08-58.pdf

zbMATH Keywords

operator monotone functionchaotic orderstrictly positive operatorLöwer-Heinz inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (8)

Upper and lower bounds for an integral transform of positive operators in Hilbert spaces with applications ⋮ Gradient inequalities for an integral transform of positive operators in Hilbert spaces ⋮ Some inequalities for operator monotone functions ⋮ Several inequalities for an integral transform of positive operators in Hilbert spaces with applications ⋮ Reverse and improved inequalities for operator monotone functions ⋮ Operator subadditivity of the \(\mathcal{D} \)-logarithmic integral transform for positive operators in Hilbert spaces ⋮ Some means inequalities for positive operators in Hilbert spaces ⋮ Superadditivity of convex integral transform for positive operators in Hilbert spaces

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