The Structure Of Functions Satisfying The Law Of Large Numbers In A Class Of Locally Convex Spaces

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（1997）

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摘要

For each function f that satisfies the law of large numbers with values in a certain class of locally convex spaces with the Radon-Nikodym property the following decomposition holds: f = f1 + f2, where f1 is integrable by seminorm, and f2 is a Pettis integrable function which is scalarly 0.

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the law of large numbers,locally convex spaces

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