1 citations · 2 across the 9 of their papers we have counts for
9 papers
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…
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…
Centering problems for probability measures on finite dimensional vector spaces
Andrzej Łuczak
The paper deals with various centering problems for probability measures on finite dimensional vector spaces. We show that for every such measure there exists a vector satisfyi…
Quantum stochastic integrals as operators
Andrzej Łuczak
We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, a…
The eigenvectors of semigroups of positive maps on von Neumann algebras
Andrzej Łuczak
The eigenvectors of an ergodic semigroup of linear normal positive unital maps on a von Neumann algebra are described. Moreover, it is shown by means of examples, that mere positiv…
Domain of attraction of Gaussian probability operators in quantum limit theory
Katarzyna Lubnauer, Andrzej Łuczak
We characterise the class of probability operators belonging to the domain of attraction of Gaussian limits in the setup which is a slight generalisation of Urbanik's scheme of non…