We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-11,
author = {Wojciech Bartoszek and Beata Kuna},
title = {Strong mixing Markov semigroups on C1 are meager},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {311-317},
zbl = {1103.46044},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-11}
}
Wojciech Bartoszek; Beata Kuna. Strong mixing Markov semigroups on C₁ are meager. Colloquium Mathematicae, Tome 106 (2006) pp. 311-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-11/