Show simple item record

dc.creatorSTUART,CHRISTOPHER
dc.creatorSWARTZ,CHARLES
dc.date2005-05-01
dc.date.accessioned2020-02-17T15:36:22Z
dc.date.available2020-02-17T15:36:22Z
dc.identifierhttps://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000100004
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/132395
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
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.relation10.4067/S0716-09172005000100004
dc.rightsinfo:eu-repo/semantics/openAccess
dc.sourceProyecciones (Antofagasta) v.24 n.1 2005
dc.titleGENERALIZATIONS OF THE ORLICZ-PETTIS THEOREM


This item appears in the following Collection(s)

Show simple item record