On operator inequalities of some relative operator entropies

DOI10.1016/j.aim.2014.03.019zbMath1290.81017OpenAlexW2089211096MaRDI QIDQ2450107

Ismail Nikoufar

Publication date: 16 May 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2014.03.019

zbMATH Keywords

relative operator entropyTsallis relative operator entropyperspective functiongeneralized perspective function

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Measures of information, entropy (94A17) Operator algebra methods applied to problems in quantum theory (81R15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (25)

A new characterization of the operator perspective ⋮ Equivalence relations among inequalities for some relative operator entropies ⋮ ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS ⋮ Relative operator entropies and Tsallis relative operator entropies in JB-algebras ⋮ Bounds of some relative operator entropies in a general form ⋮ Some bounds for the generalized Tsallis relative operator entropy ⋮ A complementary inequality for the information monotonicity of the operator perspective and applications ⋮ Refined estimations for some types of entropies and divergences ⋮ CONVEXITY OF PARAMETER EXTENSIONS OF SOME RELATIVE OPERATOR ENTROPIES WITH A PERSPECTIVE APPROACH ⋮ Unnamed Item ⋮ OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS ⋮ On operator inequalities of some relative operator entropies ⋮ The converse of the Loewner–Heinz inequality via perspective ⋮ Unnamed Item ⋮ Inequalities for relative operator entropies and operator means ⋮ Multivariate extensions of Lieb's concavity theorem ⋮ Unnamed Item ⋮ A perspective approach for characterization of Lieb concavity theorem ⋮ Improved operator inequalities of some relative operative entropies ⋮ Inequalities for relative operator entropy in terms of Tsallis’ entropy ⋮ Sharp bounds for the Tsallis relative operator entropy ⋮ Unnamed Item ⋮ Some estimations for the generalized relative operator entropy ⋮ Inequalities for the generalized Tsallis relative operator entropy ⋮ Refined operator inequalities for relative operator entropies

Cites Work

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