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Artículo
The space of Pettis integrable functions is barrelled
dc.creator | Drewnoswki, Lech | es |
dc.creator | Florencio Lora, Miguel | es |
dc.creator | Paúl Escolano, Pedro José | es |
dc.date.accessioned | 2021-09-13T14:44:15Z | |
dc.date.available | 2021-09-13T14:44:15Z | |
dc.date.issued | 1992 | |
dc.identifier.citation | Drewnoswki, L., Florencio Lora, M. y Paúl Escolano, P.J. (1992). The space of Pettis integrable functions is barrelled. Proceedings of the American Mathematical Society, 114, 687-694. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.uri | https://hdl.handle.net/11441/125676 | |
dc.description.abstract | It is well known that the normed space of Pettis integrable functions from a finite measure space to a Banach space is not complete in general. Here we prove that this space is always barrelled; this tells us that we may apply two important results to this space, namely, the Banach-Steinhaus uniform boundedness principle and the closed graph theorem. The proof is based on a theorem stating that a quasi-barrelled space having a convenient Boolean algebra of projections is barrelled. We also use this theorem to give similar results for the spaces of Bochner integrable functions. | es |
dc.format | application/pdf | es |
dc.format.extent | 8 p. | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 114, 687-694. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The space of Pettis integrable functions is barrelled | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) | es |
dc.relation.publisherversion | https://www.ams.org/journals/proc/1992-114-03/S0002-9939-1992-1107271-2/ | es |
dc.identifier.doi | 10.1090/S0002-9939-1992-1107271-2 | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.issue | 114 | es |
dc.publication.initialPage | 687 | es |
dc.publication.endPage | 694 | es |
dc.identifier.sisius | 6572998 | es |
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