Generalizations of the Orlicz - Pettis theorem

dc.creator	Stuart, Christopher
dc.creator	Swartz, Charles
dc.date	2017-04-20
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1475
dc.identifier	10.4067/10.4067/S0716-09172005000100004
dc.description	The 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-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en-US
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1475/1254
dc.rights	Copyright (c) 2005 Proyecciones. Journal of Mathematics	en-US
dc.source	Proyecciones (Antofagasta, On line); Vol. 24 No. 1 (2005); 37-48	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 24 Núm. 1 (2005); 37-48	es-ES
dc.source	0717-6279
dc.title	Generalizations of the Orlicz - Pettis theorem	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Peer-reviewed Article	en-US