Perturbation formulas for traces on \(C^*\)-algebras

DOI10.2977/prims/1195164797zbMath0829.46043OpenAlexW2046263099MaRDI QIDQ1895310

Frank Hansen, Gert Kjaergård Pedersen

Publication date: 25 January 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195164797

zbMATH Keywords

Fréchet differentialtracesperturbation formulaHadamard products of matrices

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of (C^*)-algebras (46L05) Derivatives of functions in infinite-dimensional spaces (46G05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (11)

Trace functions as Laplace transforms ⋮ Second order perturbation bounds ⋮ A note on quantum entropy ⋮ Operator convex functions of several variables ⋮ Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles ⋮ Convex multivariate operator means ⋮ MONOTONE TRACE FUNCTIONS OF SEVERAL VARIABLES ⋮ Derivations, derivatives and chain rules ⋮ Operator differentiable functions ⋮ Characterisation of matrix entropies ⋮ Jensen's Trace Inequality in Several Variables

Cites Work

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• Jensen's inequality for operators and Loewner's theorem
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• Inequalities for the Trace of Matrix Exponentials
• Triangle inequalities in operator algebras
• Expansional in banach algebras
• An operator inequality
• On some operator inequalities

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