dc.creator | Swartz, Charles | |
dc.date | 2017-04-18 | |
dc.identifier | http://www.revistaproyecciones.cl/article/view/1440 | |
dc.identifier | 10.4067/S0716-09172007000100002 | |
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 | http://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 |