The decomposition theorem for functions satisfying the law of large numbers

DOI10.1007/BF01046091zbMath0716.60009MaRDI QIDQ753235

Vladimir Dobric

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

strong law of large numberscompact operatorsRadon-Nikodym propertyGlivenko-Canteli norm

Mathematics Subject Classification ID

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

Related Items

THE COMPLETENESS PROBLEM IN SPACES OF PETTIS INTEGRABLE FUNCTIONS, The structure of functions satisfying the law of large numbers in a class of locally convex spaces, Weakly compactly generated Banach spaces and the strong law of large numbers

Cites Work

• Unnamed Item
• The Glivenko-Cantelli problem
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• Geometric aspects of convex sets with the Radon-Nikodym property
• The law of large numbers, examples and counterexamples.