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Article Dans Une Revue Journal of Functional Analysis Année : 2008

Maximal ergodic theorems for some group actions

Ying Hu
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Résumé

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.

Dates et versions

hal-00772766 , version 1 (11-01-2013)

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Ying Hu. Maximal ergodic theorems for some group actions. Journal of Functional Analysis, 2008, 254 (5), pp.1282-1306. ⟨10.1016/j.jfa.2007.12.004⟩. ⟨hal-00772766⟩
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