A perspective approach for characterization of Lieb concavity theorem

DOI10.1515/dema-2016-0040zbMath1352.81018OpenAlexW2271877477MaRDI QIDQ2520086

Ismail Nikoufar

Publication date: 13 December 2016

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

Full work available at URL: https://doi.org/10.1515/dema-2016-0040

zbMATH Keywords

perspective functionmatrix convex functiongeneralized perspective function

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 (7)

A new characterization of the operator perspective ⋮ Bounds of some relative operator entropies in a general form ⋮ Multivariate extensions of Lieb's concavity theorem ⋮ Unnamed Item ⋮ Improved operator inequalities of some relative operative entropies ⋮ Unnamed Item ⋮ Some estimations for the generalized relative operator entropy

Cites Work

• Unnamed Item
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Means of positive linear operators
• 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
• JENSEN'S OPERATOR INEQUALITY
• Perspectives of matrix convex functions
• A simple proof of Lieb concavity theorem
• INFORMATION CONTENTS OF DISTRIBUTIONS

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