Weighted Ergodic Theorems Along Subsequences of Density Zero

نویسندگان

  • Roger L. Jones
  • Michael Lin
  • James Olsen
چکیده

We consider subsequence versions of weighted ergodic theorems, and show that for a wide class of subsequences along which a.e. convergence of Cesaro averages has been established, we also have a.e. convergence for the subsequence Cesaro weighted averages, when the weights are obtained from uniform sequences produced by a connected apparatus.

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تاریخ انتشار 1998