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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.

Autorzy

• Wojciech BartoszekDepartment of Mathematics
Gdańsk University of Technology
Narutowicza 11/12
80-952 Gdańsk, Poland
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