Two Consequences of Brunel's Theorem
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 105-108

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In this note we observe two consequences of Brunei's recent theorem. If T1,..., Tn are majorized by positive power-bounded operators S1,..., Sn of Lp, 1 < p < ∞, for which the ergodic theorem holds, then a multiple sequence ergodic theorem holds for T1,....,Tn . Further, the individual convergence for each Tk can be taken along uniform sequences.
DOI : 10.4153/CMB-1991-016-6
Mots-clés : 47A35, 28D99
Olsen, James H. Two Consequences of Brunel's Theorem. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 105-108. doi: 10.4153/CMB-1991-016-6
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