English

Geometric properties for a class of deformed trace functions

Mathematical Physics 2024-05-15 v5 math.MP

Abstract

We investigate geometric properties of a class of trace functions expressed in terms of the deformed logarithmic and exponential functions. These trace functions and their properties may be of independent interest. We use them in particular to extend earlier results of Epstein, Hiai, Carlen and Lieb.

Keywords

Cite

@article{arxiv.2307.13097,
  title  = {Geometric properties for a class of deformed trace functions},
  author = {Frank Hansen},
  journal= {arXiv preprint arXiv:2307.13097},
  year   = {2024}
}

Comments

Major revision with generalisations

R2 v1 2026-06-28T11:39:05.728Z