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.
|Number of pages
|Journal of Operator Theory
|Published - Mar 2005
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory