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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.
Uwe Franz, and Adam Skalski. "On ergodic properties of convolution operators associated with compact quantum groups." Colloquium Mathematicae 113.1 (2008): 13-23. <http://eudml.org/doc/283857>.
@article{UweFranz2008, abstract = {Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative $L^\{p\}$-spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups.}, author = {Uwe Franz, Adam Skalski}, journal = {Colloquium Mathematicae}, keywords = {compact quantum groups; ergodic theorems; almost uniform convergence}, language = {eng}, number = {1}, pages = {13-23}, title = {On ergodic properties of convolution operators associated with compact quantum groups}, url = {http://eudml.org/doc/283857}, volume = {113}, year = {2008}, }
TY - JOUR AU - Uwe Franz AU - Adam Skalski TI - On ergodic properties of convolution operators associated with compact quantum groups JO - Colloquium Mathematicae PY - 2008 VL - 113 IS - 1 SP - 13 EP - 23 AB - Recent results of M. Junge and Q. Xu on the ergodic properties of the averages of kernels in noncommutative $L^{p}$-spaces are applied to the analysis of almost uniform convergence of operators induced by convolutions on compact quantum groups. LA - eng KW - compact quantum groups; ergodic theorems; almost uniform convergence UR - http://eudml.org/doc/283857 ER -