Akcoglu's Ergodic Theorem for Uniform Sequences
Canadian journal of mathematics, Tome 32 (1980) no. 4, pp. 880-884
Voir la notice de l'article provenant de la source Cambridge University Press
Let (X, F,) be a sigma-finite measure space. In what follows we assume p fixed, 1 < p < ∞ . Let T be a contraction of Lp (X, F, μ) (‖T‖,p ≦ 1). If ƒ ≧ 0 implies Tƒ ≧ 0 we will say that T is positive. In this paper we prove that if is a uniform sequence (see Section 2 for definition) and T is a positive contraction of Lp, then exists and is finite almost everywhere for every ƒ ∊ L p (X, F, μ).
Olsen, James H. Akcoglu's Ergodic Theorem for Uniform Sequences. Canadian journal of mathematics, Tome 32 (1980) no. 4, pp. 880-884. doi: 10.4153/CJM-1980-066-6
@article{10_4153_CJM_1980_066_6,
author = {Olsen, James H.},
title = {Akcoglu's {Ergodic} {Theorem} for {Uniform} {Sequences}},
journal = {Canadian journal of mathematics},
pages = {880--884},
year = {1980},
volume = {32},
number = {4},
doi = {10.4153/CJM-1980-066-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1980-066-6/}
}
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