On a classical scheme in noncommutative multiparameter ergodic theory
算子代数
2007-05-23 v1 泛函分析
摘要
In the first part of the paper the natural scheme for proving noncommutative individual ergodic theorems for multiple sequences is described and applied to obtain results on unrestricted convergence of multiaverages. In the second part convergence of ergodic averages induced by several maps satisfying specific recurrence relations, including so-called Multi Free Group Partial Sums, is proved. This is the multiindexed version of results obtained earlier jointly with V.I.Chilin and S.Litvinov.
引用
@article{arxiv.math/0605299,
title = {On a classical scheme in noncommutative multiparameter ergodic theory},
author = {Adam Skalski},
journal= {arXiv preprint arXiv:math/0605299},
year = {2007}
}
备注
14 pages