We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for L¹-contractions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-7, author = {Farrukh Mukhamedov and Hasan Akin and Seyit Temir}, title = {On stability properties of positive contractions of L$^1$-spaces associated with finite von Neumann algebras}, journal = {Colloquium Mathematicae}, volume = {106}, year = {2006}, pages = {259-269}, zbl = {1121.47004}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-7} }
Farrukh Mukhamedov; Hasan Akin; Seyit Temir. On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras. Colloquium Mathematicae, Tome 106 (2006) pp. 259-269. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-7/