REPRESENTATIONS OF WEAK AND STRONG INTEGRALS IN BANACH SPACES
We establish a representation of the Gelfand-Pettis (weak) integral in terms of unconditionally convergent series. Moreover, absolute convergence of the series is a necessary and sufficient condition in order that the weak integral coincide with the Bochner integral. Two applications of the represen...
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| Publié dans: | Proc Natl Acad Sci U S A |
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| Auteur principal: | |
| Format: | Artigo |
| Langue: | Inglês |
| Publié: |
National Academy of Sciences
1969
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| Accès en ligne: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC223557/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16591755/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.63.2.266 |
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