An extension of the Löwner-Heinz inequality

DOI10.1016/J.LAA.2012.05.027zbMath1272.47027arXiv1207.2864OpenAlexW2116041225MaRDI QIDQ448386

Mohammad Sal Moslehian, Hamed Najafi

Publication date: 6 September 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2864

zbMATH Keywords

operator monotone functionpositive operatorLöwner-Heinz inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (11)

Upper and lower bounds for an integral transform of positive operators in Hilbert spaces with applications ⋮ Asymmetric Choi–Davis inequalities ⋮ Gradient inequalities for an integral transform of positive operators in Hilbert spaces ⋮ Generalized numerical radius of a bounded linear operator ⋮ SUBADDITIVITY OF AN INTEGRAL TRANSFORM FOR POSITIVE OPERATORS IN HILBERT SPACES ⋮ Several inequalities for an integral transform of positive operators in Hilbert spaces with applications ⋮ A complementary inequality to the information monotonicity for Tsallis relative operator entropy ⋮ A characterization of convex functions and its application to operator monotone functions ⋮ Reverse and improved inequalities for operator monotone functions ⋮ Operator subadditivity of the \(\mathcal{D} \)-logarithmic integral transform for positive operators in Hilbert spaces ⋮ Superadditivity of convex integral transform for positive operators in Hilbert spaces

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