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.
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
@article{10_4153_CMB_1991_016_6,
author = {Olsen, James H.},
title = {Two {Consequences} of {Brunel's} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {105--108},
year = {1991},
volume = {34},
number = {1},
doi = {10.4153/CMB-1991-016-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-016-6/}
}
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