Improved operator inequalities of some relative operative entropies

DOI10.1007/s11117-019-00680-6zbMath1435.47028OpenAlexW2946021786WikidataQ127863138 ScholiaQ127863138MaRDI QIDQ2299381

Ismail Nikoufar

Publication date: 21 February 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-019-00680-6

zbMATH Keywords

operator inequalitiesoperator geometric meangeneralized relative operator entropynoncommutative perspective

Mathematics Subject Classification ID

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

Related Items (10)

A new characterization of the operator perspective ⋮ Equivalence relations among inequalities for some relative operator entropies ⋮ Relative operator entropies and Tsallis relative operator entropies in JB-algebras ⋮ 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 ⋮ Sharp bounds for the Tsallis relative operator entropy ⋮ 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regular operator mappings and multivariate geometric means
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators.
• The simplest proof of Lieb concavity theorem
• On operator inequalities of some relative operator entropies
• A perspective approach for characterization of Lieb concavity theorem
• A matrix convexity approach to some celebrated quantum inequalities
• A note on the entropy for operator algebras
• Perspectives of matrix convex functions
• Bounds of some relative operator entropies in a general form
• Conditional expectation in an operator algebra. IV. Entropy and information

This page was built for publication: Improved operator inequalities of some relative operative entropies