Uniform convergence of multiplier convergent series

dc.creator	Swartz, Charles	es
dc.date	2017-04-18
dc.date.accessioned	2025-10-06T15:05:07Z
dc.date.available	2025-10-06T15:05:07Z
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1440
dc.identifier	10.4067/S0716-09172007000100002
dc.identifier.uri	https://revistaschilenas.uchile.cl/handle/2250/255550
dc.description	If λ is a sequence K-space and Σ xj is a series in a topological vector space X, the series is said to be λ-multiplier convergent if the series 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 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
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1440/1224
dc.rights	Copyright (c) 2007 Proyecciones. Journal of Mathematics	en
dc.source	Proyecciones (Antofagasta); Vol. 26 No. 1 (2007); 27-35	en
dc.source	Proyecciones. Revista de Matemática; Vol. 26 Núm. 1 (2007); 27-35	es
dc.source	0717-6279
dc.source	10.22199/issn.0717-6279-2007
dc.title	Uniform convergence of multiplier convergent series	es
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion