Characterization of operator convex functions by certain operator inequalities

DOI10.7153/mia-2019-22-40OpenAlexW2927197510WikidataQ128105766 ScholiaQ128105766MaRDI QIDQ5226570

Hiroyuki Osaka, Shuhei Wada, Yukihiro Tsurumi

Publication date: 1 August 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-40

zbMATH Keywords

operator monotone functionsoperator meansoperator convex functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Unnamed Item
• Operator log-convex functions and operator means
• Double piling structure of matrix monotone functions and of matrix convex functions
• Jensen's inequality for operators and Loewner's theorem
• Operator means and range inclusion
• Means of positive linear operators
• Über monotone Matrixfunktionen
• Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
• Introduction to matrix analysis and applications
• Convex functions and their applications. A contemporary approach

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