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Komlos Limits and Fatou's Lemma in Several Dimensions
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1991
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