Refined operator inequalities for relative operator entropies

DOI10.1007/s10476-022-0121-2zbMath1497.47030arXiv2012.12399OpenAlexW3115236565MaRDI QIDQ2116398

Yanyan Li

Publication date: 16 March 2022

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12399

zbMATH Keywords

operator inequalityJC-algebraoperator entropynoncommutative perspective

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional calculus for linear operators (47A60) Abstract operator algebras on Hilbert spaces (47L30) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Applications of functional analysis in quantum physics (46N50) Measures of information, entropy (94A17) Operator algebra methods applied to problems in quantum theory (81R15) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (2)

Relative operator entropies and Tsallis relative operator entropies in JB-algebras ⋮ Operator means in JB-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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.
• Improved operator inequalities of some relative operative entropies
• The simplest proof of Lieb concavity theorem
• On operator inequalities of some relative operator entropies
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• A matrix convexity approach to some celebrated quantum inequalities
• A note on the entropy for operator algebras
• Simple proof and refinement of Hermite-Hadamard inequality
• Perspectives of matrix convex functions
• CONVEXITY OF PARAMETER EXTENSIONS OF SOME RELATIVE OPERATOR ENTROPIES WITH A PERSPECTIVE APPROACH
• C*-Algebras and their Automorphism Groups
• Jordan algebras of self-adjoint operators
• Conditional expectation in an operator algebra. IV. Entropy and information
• Convex functions and their applications. A contemporary approach

This page was built for publication: Refined operator inequalities for relative operator entropies