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/