Operator entropy inequalities

DOI10.4064/cm130-2-2zbMath1314.47025arXiv1304.0159OpenAlexW2964091074MaRDI QIDQ4916530

Mohammad Sal Moslehian, Ali Morassaei, Farzollah Mirzapour

Publication date: 23 April 2013

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0159

zbMATH Keywords

entropy inequalityJensen inequalityoperator entropypositive linear mapperspective functionoperator concavity\(f\)-divergence functional

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) General theory of (C^*)-algebras (46L05)

Related Items (6)

Relative entropy and Tsallis entropy of two accretive operators ⋮ FUNCTIONAL VERSIONS OF SOME REFINED AND REVERSED OPERATOR MEAN INEQUALITIES ⋮ OPERATOR QUASILINEARITY OF SOME FUNCTIONALS ASSOCIATED WITH DAVIS–CHOI–JENSEN’S INEQUALITY FOR POSITIVE MAPS ⋮ Some extensions of the operator entropy type inequalities ⋮ Inequalities for relative operator entropy in terms of Tsallis’ entropy ⋮ Some estimations for the generalized relative operator entropy

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