MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES

DOI10.1142/S0129167X05003107zbMath1093.47016arXivmath/0606444OpenAlexW2964220110MaRDI QIDQ5693411

Frank Hansen

Publication date: 26 September 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606444

zbMATH Keywords

Jensen inequalityweak majorizationtrace functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (1)

Trace formulas for multivariate operator functions

Cites Work

• Means of positive linear operators
• Majorizations and inequalities in matrix theory
• Weak majorization inequalities and convex functions
• Perturbation formulas for traces on \(C^*\)-algebras
• Inequalities for the Trace of Matrix Exponentials
• JENSEN'S OPERATOR INEQUALITY
• CONVEX MULTIVARIABLE TRACE FUNCTIONS
• Jensen's Trace Inequality in Several Variables
• Inequalities: theory of majorization and its applications

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