On characterization of operator monotone functions

DOI10.1016/j.laa.2015.09.022zbMath1343.15015arXiv1512.03719OpenAlexW2962689429MaRDI QIDQ890568

Dinh Trung Hoa

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1512.03719

zbMATH Keywords

Hermitian matricespositive definite matricesarithmetic meangeometric meanoperator monotone functionsmeans of positive matricesreverse Cauchy inequality

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Monotonic functions, generalizations (26A48) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (8)

On the monotonicity of weighted power means for matrices ⋮ An extension of the Pólya-Szegő operator inequality ⋮ Matrix Inequalities and Characterizations of Operator Monotone Functions ⋮ Matrix power means and new characterizations of operator monotone functions ⋮ Generalized reverse Cauchy inequality and applications to operator means ⋮ In-sphere property and reverse inequalities for matrix means ⋮ New characterizations of operator monotone functions ⋮ Weighted Hellinger distance and in-betweenness property

Cites Work

• Operator log-convex functions and operator means
• Means of positive linear operators
• On generalized Powers-Størmer's inequality
• Characterization of operator monotone functions by Powers–Størmer type inequalities

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