### Abstract

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 L^{1}-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) |
---|---|

Pages (from-to) | 331-350 |

Number of pages | 20 |

Journal | Journal of Operator Theory |

Volume | 53 |

Issue number | 2 |

State | Published - Mar 1 2005 |

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory

## Fingerprint Dive into the research topics of 'A few remarks in non-commutative ergodic theory'. Together they form a unique fingerprint.

## Cite this

Chilin, V., Litvinov, S., & Skalski, A. (2005). A few remarks in non-commutative ergodic theory.

*Journal of Operator Theory*,*53*(2), 331-350.