Some results on strongly operator convex functions and operator monotone functions

DOI10.1016/j.laa.2018.05.005OpenAlexW2963959805WikidataQ129872394 ScholiaQ129872394MaRDI QIDQ1642015

Lawrence G. Brown, Mitsuru Uchiyama

Publication date: 20 June 2018

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

Full work available at URL: https://arxiv.org/abs/1712.07205

zbMATH Keywords

operator monotone functionsLoewner theoremoperator convex functionscompletely monotone functionsPick functionsstrongly operator convex functions

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

Operator functions and the operator harmonic mean ⋮ Some results on matrix means

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jensen's inequality for operators and Loewner's theorem
• A treatment of strongly operator-convex functions that does not require any knowledge of operator algebras
• A new majorization between functions, polynomials, and operator inequalities
• Operator monotone functions, positive definite kernels and majorization
• A Schwarz Inequality for Convex Operator Functions
• Semicontinuity and Multipliers of C*-Algebras
• Monotone and Convex Operator Functions
• Bernstein functions. Theory and applications

This page was built for publication: Some results on strongly operator convex functions and operator monotone functions