Individual ergodic theorems for free group actions and Besicovitch weighted ergodic averages are proved in the context of the bilateral almost uniform convergence in the L1-space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the point-wise convergence and the convergence in measure are discussed.
|Original language||English (US)|
|Number of pages||20|
|Journal||Journal of Operator Theory|
|State||Published - Mar 1 2005|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory