Jensen's Trace Inequality in Several Variables

DOI10.1142/S0129167X03001983zbMath1049.46037arXivmath/0303060MaRDI QIDQ4474438

Frank Hansen, Gert Kjaergård Pedersen

Publication date: 12 July 2004

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

Full work available at URL: https://arxiv.org/abs/math/0303060

zbMATH Keywords

operator algebrasJensen inequalitytrace inequalitiestrace functions

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Characterizations of Hilbert spaces (46C15) General theory of von Neumann algebras (46L10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) General theory of (C^*)-algebras (46L05)

Related Items (9)

On controllability of time-varying linear population systems with parameters in unbounded sets ⋮ Jensen's inequality relative to matrix-valued measures ⋮ Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ Jensen's inequality for spectral order and submajorization ⋮ Quantum Brascamp-Lieb dualities ⋮ Rademacher inequalities with applications ⋮ MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES ⋮ The Hessian of a noncommutative polynomial has numerous negative eigenvalues ⋮ Trace formulas for multivariate operator functions

Cites Work

• Unnamed Item
• Unnamed Item
• On an inequality of Lieb and Thirring
• Spectral scale of selfadjoint operators and trace inequalities
• The classical limit of quantum partition functions
• Jensen's inequality for operators and Loewner's theorem
• Matrix convexity of functions of two variables
• Operator convex functions of several variables
• Über monotone Matrixfunktionen
• Perturbation formulas for traces on \(C^*\)-algebras
• The classical limit of quantum spin systems
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Über konvexe Matrixfunktionen
• On Some Classes of Analytic Functions of Several Variables
• JENSEN'S OPERATOR INEQUALITY
• CONVEX MULTIVARIABLE TRACE FUNCTIONS
• Jensen’s operator inequality for functions of several variables
• An operator inequality
• Convex trace functions of several variables.

This page was built for publication: Jensen's Trace Inequality in Several Variables