Geodesic
Komlos Limits and Fatou's Lemma in Several Dimensions
Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 109-112

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Using Komlos' Theorem, a sequence decomposition result due to Gaposhkin, and two results due to Artstein, we prove a result concerning the properties of Komlos limits. We then show that a stronger version of Fatou's Lemma in several dimensions can be deduced from Artstein's version of the Lemma. The version of Fatou's Lemma proved here subsumes the most recent version of the Lemma in several dimensions given by Balder.
DOI : 10.4153/CMB-1991-017-3
Mots-clés : 28B05, 28A20, 46G10 
Jr., Frank H. Page. Komlos Limits and Fatou's Lemma in Several Dimensions. Canadian mathematical bulletin, Tome 34 (1991) no. 1, pp. 109-112. doi: 10.4153/CMB-1991-017-3
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     author = {Jr., Frank H. Page},
     title = {Komlos {Limits} and {Fatou's} {Lemma} in {Several} {Dimensions}},
     journal = {Canadian mathematical bulletin},
     pages = {109--112},
     year = {1991},
     volume = {34},
     number = {1},
     doi = {10.4153/CMB-1991-017-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-017-3/}
}
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