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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| Veröffentlicht in: | Proc Natl Acad Sci U S A |
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| 1. Verfasser: | |
| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
National Academy of Sciences
1976
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| Online-Zugang: | 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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