ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS

DOI10.30546/2409-4994.48.2.2022.259OpenAlexW4310030331MaRDI QIDQ5057835

Mohamed El-Amine Chergui, Abdenbi El Hilali, Bouazza El Wahbi

Publication date: 1 December 2022

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.48.2.2022.259

zbMATH Keywords

Hellinger metricrelative operator entropiesTsallis relative operator entropies

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Entropy in general topology (54C70) Measures of information, entropy (94A17) Operator theory (47-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Norm inequalities related to the matrix geometric mean
• Some geometric properties of matrix means with respect to different metrics
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Generalized Shannon inequalities based on Tsallis relative operator entropy
• Operator entropy and fidelity associated with the geometric mean
• Inequalities for relative operator entropies and operator means
• Matrix versions of the Hellinger distance
• On the Bures-Wasserstein distance between positive definite matrices
• On some trace inequalities for positive definite Hermitian matrices
• On operator inequalities of some relative operator entropies
• A note on operator inequalities of Tsallis relative operator entropy
• A note on the entropy for operator algebras
• Inequalities for relative operator entropy in terms of Tsallis’ entropy
• A matrix trace inequality

This page was built for publication: ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS