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dc.creatorDrewnoswki, Leches
dc.creatorFlorencio Lora, Migueles
dc.creatorPaúl Escolano, Pedro Josées
dc.date.accessioned2021-09-13T14:44:15Z
dc.date.available2021-09-13T14:44:15Z
dc.date.issued1992
dc.identifier.citationDrewnoswki, 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.issn0002-9939es
dc.identifier.urihttps://hdl.handle.net/11441/125676
dc.description.abstractIt 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.formatapplication/pdfes
dc.format.extent8 p.es
dc.language.isoenges
dc.publisherAmerican Mathematical Societyes
dc.relation.ispartofProceedings of the American Mathematical Society, 114, 687-694.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.titleThe space of Pettis integrable functions is barrelledes
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Matemática Aplicada II (ETSI)es
dc.relation.publisherversionhttps://www.ams.org/journals/proc/1992-114-03/S0002-9939-1992-1107271-2/es
dc.identifier.doi10.1090/S0002-9939-1992-1107271-2es
dc.journaltitleProceedings of the American Mathematical Societyes
dc.publication.issue114es
dc.publication.initialPage687es
dc.publication.endPage694es
dc.identifier.sisius6572998es

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional