dc.creator | Swartz, Charles | |
dc.date | 2017-05-08 | |
dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1540 | |
dc.identifier | 10.4067/S0716-09172006000200001 | |
dc.description | P. Dierolf has shown that there is a strongest locally convex polar topology which has the same subseries (bounded multiplier) convergent series as the weak topology, and I. Tweddle has shown that there is a strongest locally convex topology which has the same subseries convergent series as the weak topology. We establish the analogues of these results for multiplier convergent series if the sequence space of multipliers has the signed weak gliding hump property. We compare our main result with other known Orlicz-Pettis Theorems for multiplier convergent series. | 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/1540/2402 | |
dc.rights | Copyright (c) 2006 Proyecciones. Journal of Mathematics | en-US |
dc.source | Proyecciones (Antofagasta, On line); Vol. 25 No. 2 (2006); 111-120 | en-US |
dc.source | Proyecciones. Revista de Matemática; Vol. 25 Núm. 2 (2006); 111-120 | es-ES |
dc.source | 0717-6279 | |
dc.subject | Normed linear spaces | es-ES |
dc.subject | Orlicz-Pettis Theorem | es-ES |
dc.subject | convergent series | es-ES |
dc.subject | locally convex topology | es-ES |
dc.subject | weak topology | es-ES |
dc.subject | espacios lineales normados | es-ES |
dc.subject | teorema de Orlicz-Pettis | es-ES |
dc.subject | series convergentes | es-ES |
dc.subject | topología localmente convergente | es-ES |
dc.subject | topología débil. | es-ES |
dc.title | Strong topologies for multiplier convergent series | es-ES |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.type | Peer-reviewed Article | en-US |