Around operator monotone functions

DOI10.1007/s00020-011-1921-0zbMath1272.47026arXiv1110.6594OpenAlexW2004185483MaRDI QIDQ429732

Mohammad Sal Moslehian, Hamed Najafi

Publication date: 20 June 2012

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.6594

zbMATH Keywords

operator monotone functionsubadditivitycomposition of functionsoperator convex functionJordan product

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 (17)

On subadditivity and superadditivity of functions on positive operators ⋮ An operator inequality and its consequences ⋮ Non-commutative Stein inequality and its applications ⋮ More on operator monotone and operator convex functions of several variables ⋮ Operator Ky Fan type inequalities ⋮ SUBADDITIVITY OF AN INTEGRAL TRANSFORM FOR POSITIVE OPERATORS IN HILBERT SPACES ⋮ On some operator inequalities with respect to the \(s\)-convexity ⋮ On the binary relation \(\leqslant_u\) on self-adjoint Hilbert space operators ⋮ Some results on Kwong functions and related inequalities ⋮ Superadditivity and derivative of operator functions ⋮ Approximation by \((p,q)\)-Baskakov-Beta operators ⋮ Chebyshev type inequalities for Hilbert space operators ⋮ Superadditivity of convex integral transform for positive operators in Hilbert spaces ⋮ Some new inequalities of operator \(m\)-convex functions and applications for synchronous-asynchronous functions ⋮ Operator inequalities of Jensen type ⋮ Non-commutativef-divergence functional ⋮ Newinequalities in terms of operator m-convex functions in Hilbert space

Cites Work

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• Eigenvalue inequalities for convex and log-convex functions
• Jensen's inequality for operators and Loewner's theorem
• Eigenvalue bounds for AB+BA, with A, B positive definite matrices
• Weak majorization inequalities and convex functions
• Interaction antieigenvalues
• Über monotone Matrixfunktionen
• Norm inequalities related to operator monotone functions
• Eigenvalues of Jordan Products
• Monotone and Convex Operator Functions
• An operator inequality

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