Double piling structure of matrix monotone functions and of matrix convex functions. II.

DOI10.1016/j.laa.2012.02.033zbMath1302.47019arXiv1104.3372OpenAlexW2950159082MaRDI QIDQ426068

Jun Tomiyama, Hiroyuki Osaka

Publication date: 11 June 2012

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

Full work available at URL: https://arxiv.org/abs/1104.3372

zbMATH Keywords

matrix convex functionsmatrix monotone functions

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items

Operator Jensen's inequality on \(C^\ast\)-algebras ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions

Cites Work

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• Double piling structure of matrix monotone functions and of matrix convex functions
• Differential analysis of matrix convex functions
• Jensen's inequality for operators and Loewner's theorem
• Monotone operator functions, gaps and power moment problem
• JENSEN'S OPERATOR INEQUALITY
• GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS
• An operator inequality