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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A simple proof of a theorem of Chacon


Author: Robert Chen
Journal: Proc. Amer. Math. Soc. 60 (1976), 273-275
MSC: Primary 60G40
MathSciNet review: 0420828
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Abstract: A short and simple proof of a theorem of Chacon is presented by an application of a maximal inequality. A pointwise convergence theorem and the submartingale convergence theorem follow immediately from the theorem.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0420828-8
PII: S 0002-9939(1976)0420828-8
Keywords: Bounded stopping time, Fatou's lemma, generalized sequence, Lebesgue's dominated convergence theorem, maximal inequality, submartingale convergence theorem
Article copyright: © Copyright 1976 American Mathematical Society