Geometric properties for a class of deformed trace functions
Author:
Open Access
- 8 May 2024
- journal article
- research article
- Published by Springer Nature in Annals of Functional Analysis
- Vol. 15 (3) , 1-13
Abstract
We investigate the geometric properties for a class of trace functions expressed in terms of the deformed logarithmic and exponential functions. We extend earlier results of Epstein, Hiai, Carlen and Lieb.Keywords
All Related Versions
Funding Information
- Copenhagen University
This publication has 11 references indexed in Scilit:
- Variational representations related to Tsallis relative entropyLetters in Mathematical Physics, 2020
- From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjectureAdvances in Mathematics, 2020
- Inequalities for quantum divergences and the Audenaert–Datta conjectureJournal of Physics A: Mathematical and Theoretical, 2018
- Concavity of certain matrix trace and norm functionsLinear Algebra and its Applications, 2013
- Nonadditive entropy and nonextensive statistical mechanics -an overview after 20 yearsBrazilian Journal of Physics, 2009
- A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and ConcavityLetters in Mathematical Physics, 2008
- Convex Optimization2004
- Concavity of certain maps on positive definite matrices and applications to Hadamard productsLinear Algebra and its Applications, 1979
- Convex trace functions and the Wigner-Yanase-Dyson conjectureAdvances in Mathematics, 1973
- Remarks on two theorems of E. LiebCommunications in Mathematical Physics, 1973