2 papers
math.OA2007
Operators related to subordination for free multiplicative convolutions
Romuald Lenczewski
It has been shown by Voiculescu and Biane that the analytic subordination property holds for free additive and multiplicative convolutions. In this paper, we present an operatorial…
math.QA2005
Discrete interpolation between monotone probability and free probability
Romuald Lenczewski, Rafal Salapata
We construct a sequence of states called m-monotone product states which give a discrete interpolation between the monotone product of states of Muraki and the free product of stat…