Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative -spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-2, author = {Uwe Franz and Adam Skalski}, title = {On ergodic properties of convolution operators associated with compact quantum groups}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {13-23}, zbl = {1157.46036}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-2} }
Uwe Franz; Adam Skalski. On ergodic properties of convolution operators associated with compact quantum groups. Colloquium Mathematicae, Tome 111 (2008) pp. 13-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-1-2/