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math.OA2009
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…
math.FA2009
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…