A Multiparameter, Zero Density Subsequence Ergodic Theorem
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 33-37
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We generalize a result of L. Sucheston on obtaining multiparameter ergodic theorems from their single parameter versions. This result is then employed to prove a multiparameter, subsequence ergodic theorem for operator averages along special zero density subsequences.
Cogswell, Kurt D. A Multiparameter, Zero Density Subsequence Ergodic Theorem. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 33-37. doi: 10.4153/CMB-1993-006-5
@article{10_4153_CMB_1993_006_5,
author = {Cogswell, Kurt D.},
title = {A {Multiparameter,} {Zero} {Density} {Subsequence} {Ergodic} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {33--37},
year = {1993},
volume = {36},
number = {1},
doi = {10.4153/CMB-1993-006-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-006-5/}
}
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