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Strong mixing Markov semigroups on C₁ are meager

Wojciech Bartoszek; Beata Kuna — 2006

Colloquium Mathematicae

We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology $l i m_{t \to \infty} T (t) = Q$ , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

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