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.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…
math.OA2019
Relative modular operator in semifinite von Neumann algebras and its use
Andrzej Łuczak, Hanna Podsędkowska, Rafał Wieczorek
We present some results concerning the relative modular operator in semifinite von Neumann algebras. These results allow one to prove some basic formula for trace, to obtain equiva…