The structure of functions satisfying the law of large numbers in a class of locally convex spaces

DOI10.1090/S0002-9939-97-03686-1zbMath0866.60013OpenAlexW1567757963MaRDI QIDQ3127308

Robert C. Stolz

Publication date: 8 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03686-1

zbMATH Keywords

law of large numberslocally convex spacesRadon-Nikodym propertyPettis integrable function

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Cites Work

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• The decomposition theorem for functions satisfying the law of large numbers
• The law of large numbers in locally convex spaces
• The Glivenko-Cantelli problem
• Locally Convex Spaces with Radon-Nikodym Property
• Analytically normed spaces.

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