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dc.creatorStuart, Christopheres
dc.creatorSwartz, Charleses
dc.date2017-04-20
dc.date.accessioned2025-10-06T15:05:08Z
dc.date.available2025-10-06T15:05:08Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1475
dc.identifier10.4067/10.4067/S0716-09172005000100004
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/255571
dc.descriptionThe Orlicz-Pettis Theorem for locally convex spaces asserts that a series in the space which is subseries convergent in the weak topology is actually subseries convergent in the original topology of the space. A subseries convergent series can be viewed as a multiplier convergent series where the terms of the series are multiplied by elements of the scalar sequence space m0 of sequences with finite range. In this paper we show that the conclusion of the Orlicz-Pettis Theorem holds (and can be strengthened) if the multiplier space m0 is replaced by a sequence space with the signed weak gliding hump property.es
dc.formatapplication/pdf
dc.languagespa
dc.publisherUniversidad Católica del Norte.en
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1475/1254
dc.rightsCopyright (c) 2005 Proyecciones. Journal of Mathematicsen
dc.sourceProyecciones (Antofagasta); Vol. 24 No. 1 (2005); 37-48en
dc.sourceProyecciones. Revista de Matemática; Vol. 24 Núm. 1 (2005); 37-48es
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2005
dc.titleGeneralizations of the Orlicz - Pettis theoremes
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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