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On the Riesz-Markov Theorem for Vector-Valued Stochastic Measures

✍ Scribed by Tsitritskii, O. E.; Mironyuk, L. N.


Book ID
118225779
Publisher
Society for Industrial and Applied Mathematics
Year
1979
Tongue
English
Weight
328 KB
Volume
23
Category
Article
ISSN
0040-585X

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The Riesz Representation Theorem and Ext
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let m β†’ E be a finitely additive measure with finite semivariation, defined on a Ξ΄-ring of subsets of a given set S. A theory of integration of vector-valued functions f S β†’ E, applicable to the stochastic integration in Banach spaces, is developed in [6, Sect. 5]. Many times a measure m is defined