3 papers
math.OA2025
Variational formulae for entropy-like functionals for states in von Neumann algebras
Andrzej Łuczak, Hanna Podsędkowska, Rafał Wieczorek
The paper presents variational formulae for entropy-like functionals, including Segal and Rényi entropies, for normal states on semifinite von Neumann algebras. The considered func…
math.OA2024
On Segal entropy
Andrzej Łuczak
The paper is devoted to the investigation of Segal's entropy in semifinite von Neumann algebras. The following questions are dealt with: semicontinuity, the 'ideal-like' structure…
math.OA2023
Mappings preserving quantum Renyi's entropies in von Neumann algebras
Andrzej Łuczak, Hanna Podsędkowska, Rafał Wieczorek
We investigate the situation when a normal positive linear unital map on a semifinite von Neumann algebra leaving the trace invariant does not change fixed quantum Renyi's entropy…