The uniqueness of invariant measures for Markov operators
Tomasz Szarek
Studia Mathematica, Tome 187 (2008), p. 225-233 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:285250 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-2,
     author = {Tomasz Szarek},
     title = {The uniqueness of invariant measures for Markov operators},
     journal = {Studia Mathematica},
     volume = {187},
     year = {2008},
     pages = {225-233},
     zbl = {1152.60055},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-2}
}

Tomasz Szarek. The uniqueness of invariant measures for Markov operators. Studia Mathematica, Tome 187 (2008) pp. 225-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-3-2/