## Abstract

In the paper we consider T_{1}, ..., T_{d} absolute contractions of von Neumann algebra M with normal, semifinite, faithful trace, and prove that for every bounded Besicovitch weight {a (k)}_{k ∈ Nd} and every x ∈ L_{p} (M) (p > 1) the averagesA_{N} (x) = frac(1, | N |) underover(∑, k = 1, N) a (k) T^{k} (x) converge bilaterally almost uniformly in L_{p} (M).

Original language | English |
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Pages (from-to) | 226-232 |

Number of pages | 7 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 343 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 1 2008 |

Externally published | Yes |

## Keywords

- Besicovitch weights
- Bilaterally almost uniformly
- Ergodic theorem
- Noncommutative

## ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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