A simple proof of Lieb concavity theorem
From MaRDI portal
Publication:5263578
DOI10.1063/1.3573594zbMath1316.46045OpenAlexW2023337177MaRDI QIDQ5263578
Publication date: 17 July 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3573594
General theory of von Neumann algebras (46L10) (Spaces of) multilinear mappings, polynomials (46G25)
Related Items
Convex entire noncommutative functions are polynomials of degree two or less ⋮ The simplest proof of Lieb concavity theorem ⋮ Rational approximations of spectral densities based on the Alpha divergence ⋮ A perspective approach for characterization of Lieb concavity theorem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Concavity of certain maps on positive definite matrices and applications to Hadamard products
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY
- A matrix convexity approach to some celebrated quantum inequalities
- LIEB'S SIMPLE PROOF OF CONCAVITY OF (A, B) ↦ Tr Ap K† B1-p K AND REMARKS ON RELATED INEQUALITIES