Loewner matrices of matrix convex and monotone functions
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Publication:431601
DOI10.2969/jmsj/06420343zbMath1261.15026arXiv1007.2478OpenAlexW2055089878WikidataQ55982440 ScholiaQ55982440MaRDI QIDQ431601
Publication date: 29 June 2012
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.2478
matrix convexityLoewner matrix\(n\)-convex\(n\)-monotoneconditional negative definiteconditional positive definitematrix monotonyoperator convex
Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Positive definite functions in one variable harmonic analysis (42A82)
Related Items (9)
Positivity around Cauchy matrices ⋮ Inertia of Kraus matrices ⋮ Families of completely positive maps associated with monotone metrics ⋮ Operator inequalities: from a general theorem to concrete inequalities ⋮ Superadditivity and derivative of operator functions ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ Higher order extension of Löwner’s theory: Operator 𝑘-tone functions ⋮ A converse of Loewner-Heinz inequality and applications to operator means ⋮ Conditional negativity of Kwong matrices II
Cites Work
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- Positivity and conditional positivity of Loewner matrices
- Double piling structure of matrix monotone functions and of matrix convex functions
- Loewner matrices and operator convexity
- Jensen's inequality for operators and Loewner's theorem
- Über monotone Matrixfunktionen
- Schlicht mappings and infinitely devisible kernels
- Some function classes related to the class of convex functions
- Über konvexe Matrixfunktionen
- Operator monotone functions, positive definite kernels and majorization
- Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
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