Strong mixing Markov semigroups on ${C}_1$ are meager
Tom 105 / 2006
Colloquium Mathematicum 105 (2006), 311-317
MSC: Primary 46L55, 47A35; Secondary 37A30, 37A55.
DOI: 10.4064/cm105-2-11
Streszczenie
We show that the set of those Markov semigroups on the Schatten class ${\cal C}_{1}$ such that in the strong operator topology $\lim_{t \to \infty} T(t) = Q $, where $Q$ is a one-dimensional projection, form a meager subset of all Markov semigroups.
