Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592230 | Journal of Functional Analysis | 2008 | 25 Pages |
Abstract
We prove maximal ergodic inequalities for a sequence of operators and for their averages in the noncommutative Lp-space. We also obtain the corresponding individual ergodic theorems. Applying these results to actions of a free group on a von Neumann algebra, we get noncommutative analogues of maximal ergodic inequalities and pointwise ergodic theorems of Nevo–Stein.
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Mathematics
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