Uniform convergence of multiplier convergent series

dc.creator	Swartz, Charles
dc.date	2017-04-18
dc.date.accessioned	2019-11-14T11:59:34Z
dc.date.available	2019-11-14T11:59:34Z
dc.identifier	https://www.revistaproyecciones.cl/article/view/1440
dc.identifier	10.4067/S0716-09172007000100002
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/113171
dc.description	If λ is a sequence K-space and Pxj is a series in a topological vector space X, the series is said to be λ-multiplier convergent if the series P∞ j=1 tjxj converges in X for every t = {tj} ∈ λ. We show that if λ satisfies a gliding hump condition, called the signed strong gliding hump condition, then the series P∞ j=1 tjxj converge uniformly for t = {tj} belonging to bounded subsets of λ. A similar uniform convergence result is established for a multiplier convergent series version of the Hahn-Schur Theorem.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	https://www.revistaproyecciones.cl/article/view/1440/1224
dc.rights	Derechos de autor 2007 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 26 No 1 (2007); 27-35	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 26 Núm. 1 (2007); 27-35	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Uniform convergence of multiplier convergent series	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES