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Weak compactness in |
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| Authors: | Santiago Dí az |
| Affiliation: | Departamento de Matemática Aplicada II, Universidad de Sevilla E.S. Ingenieros Industriales, Avda. Reina Mercedes s/n, 41012-Sevilla, Spain |
| Abstract: | We characterize weak compactness and weak conditional compactness of subsets of  in terms of regular methods of summability. We also study when these results still hold using only convergence in the sense of Cesàro. |
| Keywords: | Lebesgue-Bochner integrable functions, regular methods of summability, Cesà ro convergence, weak compactness, Radon-Nikodý m property |
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