3 papers
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.OA2014
On the commutativity of states in von Neumann algebras
Andrzej Łuczak
The notion of commutativity of two normal states on a von Neumann algebra was defined some time ago by means of the Pedersen-Takesaki theorem. In this note we aim at generalizing t…
quant-ph2009
Weakly sufficient quantum statistics
Katarzyna Lubnauer, Andrzej Łuczak, Hanna Podsȩdkowska
Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statist…