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On vector-valued asymptotic martingales

In contrast to the vector-valued martingale which converges strongly almost everywhere if and only if the Banach space E has the Radon-Nikodym property, the vector-valued asymptotic martingale converges strongly almost everywhere if and only if E is of finite dimension.

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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Autor principal: Bellow, Alexandra
Formato: Artigo
Lenguaje:Inglês
Publicado: National Academy of Sciences 1976
Materias:
Acceso en línea:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC430392/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592323/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.73.6.1798
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