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Komlos Limits and Fatou's Lemma in Several Dimensions

Published online by Cambridge University Press:  20 November 2018

Frank H. Page Jr.
Frank H. Page Jr.*
Affiliation:
Department of Finance University of Alabama Tuscaloosa, Alabama 35487 U.S.A.
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Abstract

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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.

Keywords

28B0528A2046G10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 1 , 01 March 1991 , pp. 109 - 112
Copyright
Copyright © Canadian Mathematical Society 1991

References

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