Characterization of operator monotone functions by Powers–Størmer type inequalities

DOI10.1080/03081087.2014.954571zbMath1320.47014arXiv1207.5201OpenAlexW2054376409MaRDI QIDQ4981981

Jun Tomiyama, Dinh Trung Hoa, Hiroyuki Osaka

Publication date: 23 March 2015

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

Full work available at URL: https://arxiv.org/abs/1207.5201

zbMATH Keywords

traceoperator monotonicitynormal statesgeneralized Powers-Størmer type inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Monotonic functions, generalizations (26A48) States of selfadjoint operator algebras (46L30)

Related Items (6)

Matrix Inequalities and Characterizations of Operator Monotone Functions ⋮ On characterization of operator monotone functions ⋮ Matrix power means and new characterizations of operator monotone functions ⋮ Dynamical decoupling of unbounded Hamiltonians ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ A generalized reverse Cauchy inequality for matrices

Cites Work

• Weighted monotonicity inequalities for traces on operator algebras
• Double piling structure of matrix monotone functions and of matrix convex functions
• Jensen's inequality for operators and Loewner's theorem
• On generalized Powers-Størmer's inequality
• Free states of the canonical anticommutation relations
• On characterizations of commutativity of C*-algebras

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