Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators

DOI10.1016/j.laa.2015.05.006zbMath1392.47001OpenAlexW323477968MaRDI QIDQ2350004

Marek Niezgoda

Publication date: 18 June 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.05.006

zbMATH Keywords

positive linear map\(f\)-connectionCsiszár \(f\)-divergenceoperator convex (concave) functionoperator Shannon inequalityreflexive generalized inverse of linear map

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Measures of information, entropy (94A17)

Related Items (8)

Generalizations of Crooks and Lin's results on Jeffreys-Csiszár and Jensen-Csiszár \(f\)-divergences ⋮ A note on comparison results with positive linear operators ⋮ On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions ⋮ Vector joint majorization and generalization of Csiszár-Körner's inequality for \(f\)-divergence ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions ⋮ Some reverse inequalities for positive linear maps of selfadjoint operators ⋮ Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences ⋮ On a Mercer like inequality involving generalized Csiszár f-divergences

Cites Work

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