Geodesic
Strong mixing Markov semigroups on ${C}_1$ are meager
Wojciech Bartoszek 1   ; Beata Kuna 1
1 Department of Mathematics Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 311-317 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm105-2-11
Keywords: set those markov semigroups schatten class cal strong operator topology lim infty where one dimensional projection form meager subset markov semigroups

Wojciech Bartoszek  1   ; Beata Kuna  1

1 Department of Mathematics Gdańsk University of Technology Narutowicza 11/12 80-952 Gdańsk, Poland 
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Wojciech Bartoszek; Beata Kuna. Strong mixing Markov semigroups on ${C}_1$ are meager. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 311-317. doi: 10.4064/cm105-2-11

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