Tsallis relative operator entropy with negative parameters

DOI10.22034/aot.1610.1038zbMath1368.47017OpenAlexW2584928656MaRDI QIDQ502284

Jun Ichi Fujii, Yuki Seo

Publication date: 3 January 2017

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://www.aot-math.org/article_40901_63038f18f801ee19f7cb34323ff53c12.pdf

zbMATH Keywords

positive operatoroperator geometric meanTsallis relative operator entropy

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Measures of information, entropy (94A17) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (16)

The quantum ♮α-Rényi divergence of real order ⋮ Relative entropy and Tsallis entropy of two accretive operators ⋮ Further inequalities involving the weighted geometric operator mean and the Heinz operator mean ⋮ Relative Operator Entropy ⋮ Exponential inequalities for positive linear mappings ⋮ New Kantorovich type inequalities for negative parameters ⋮ FUNCTIONAL VERSIONS OF SOME REFINED AND REVERSED OPERATOR MEAN INEQUALITIES ⋮ Quantifying quantum coherence based on the Tsallis relative operator entropy ⋮ A complementary inequality to the information monotonicity for Tsallis relative operator entropy ⋮ On the weighted geometric mean of accretive matrices ⋮ Matrix trace inequalities on Tsallis relative entropy of negative order ⋮ The unique solution of the Karcher equation and the self-adjointness of the Karcher mean ⋮ Ando–Hiai-type inequalities for operator means and operator perspectives ⋮ Numerical radius inequalities related to the geometric means of negative power ⋮ Matrix Hölder-McCarthy inequality via matrix geometric means ⋮ Determinant for positive operators and operator geometric means

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