Multivariate extensions of Lieb's concavity theorem

DOI10.1007/s00023-021-01055-yzbMath1466.81005OpenAlexW3155729424MaRDI QIDQ2035432

Ismail Nikoufar

Publication date: 24 June 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-021-01055-y

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Convexity of real functions of several variables, generalizations (26B25) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum entropies (81P17)

Related Items (2)

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Cites Work

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• Non-commutative perspectives
• Regular operator mappings and multivariate geometric means
• Means of positive linear operators
• Extensions of Lieb's concavity theorem
• The simplest proof of Lieb concavity theorem
• On operator inequalities of some relative operator entropies
• A perspective approach for characterization of Lieb concavity theorem
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• A matrix convexity approach to some celebrated quantum inequalities
• Upper and lower bounds for the arithmetic-geometric-harmonic means of positive definite matrices
• Perspectives of matrix convex functions
• INFORMATION CONTENTS OF DISTRIBUTIONS

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