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Roger L. Jones, Michael Lin, and James Olsen
Weighted Ergodic Theorems Along Subsequences of Density Zero
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| Published: |
March 18, 1998 |
| Keywords: |
Besicovitch sequences, uniform sequences, Dunford-Schwartz operators, amplitude modulation, pointwise subsequence ergodic theorem |
| Subject: |
47A35; 28A65 |
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Abstract
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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| Acknowledgements
R. Jones is partially supported by NSF Grant DMS--9531526
M. Lin is partially supported by the Israel Science Foundation
J. Olsen is partially supported by ND EPSCoR through NSF Grant # OSR-5452892
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| Author information
Roger L. Jones:
Department of Mathematics, DePaul University, 2219 N. Kenmore, Chicago, IL 60614
rjones@condor.depaul.edu
http://www.depaul.edu/~rjones/
Michael Lin:
Department of Mathematics and Computer Science, Ben-Gurion University of the Negev, Beer-Sheva, Israel
lin@math.bgu.ac.il
James Olsen:
Department of Mathematics, North Dakota State University, Fargo, N.D. 58105
jolsen@plains.nodak.edu
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