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Abstract martingales in Banach spaces


Author: J. J. Uhl
Journal: Proc. Amer. Math. Soc. 28 (1971), 191-194
MSC: Primary 47.10; Secondary 28.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0283595-2
MathSciNet review: 0283595
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Abstract: The concept of martingale is generalized from probability theory to the setting of Banach spaces. Convergent martingales are characterized. An application to a Radon-Nikodym theorem for vector measures is given.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0283595-2
Keywords: Martingale, Banach spaces, projection, vector measures, Radon-Nikodym
Article copyright: © Copyright 1971 American Mathematical Society

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