Selfadjoint means and operator monotone functions

DOI10.1007/BF01450940zbMath0461.47009OpenAlexW2000142144MaRDI QIDQ1152566

Frank Hansen

Publication date: 1981

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163494

zbMATH Keywords

operator monotone functionsmeans of operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Convexity of real functions in one variable, generalizations (26A51)

Related Items

Matrix Inequalities and Characterizations of Operator Monotone Functions ⋮ Perspectives, Means and their Inequalities ⋮ Noncommutative partially convex rational functions ⋮ WYD-like skew information measures ⋮ Geometric convexity of an operator mean ⋮ Unexpected relations which characterize operator means ⋮ Means and concave products of positive semi-definite matrices ⋮ New characterizations of operator monotone functions ⋮ Some operator monotone functions ⋮ Furuta's inequality and its application to Ando's theorem ⋮ Hermitian semidefinite matrix means and related matrix inequalities—an introduction

Cites Work

• Functional calculus for sesquilinear forms and the purification map
• Characterization of operations derived from network connections
• Über monotone Matrixfunktionen
• Series and parallel addition of matrices
• Shorted Operators. II
• Monotone and Convex Operator Functions
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