| dc.creator | Swartz, Charles | |
| dc.date | 2017-03-23 | |
| dc.date.accessioned | 2019-11-14T11:59:14Z | |
| dc.date.available | 2019-11-14T11:59:14Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/1288 | |
| dc.identifier | 10.4067/S0716-09172014000200006 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113079 | |
| dc.description | If λ is a scalar sequence space, a series P Zj in a topological vector space Z is λ multiplier convergent in Z if the series P ∞J =1 tj Zj converges in Z for every t = {tj} ∈ λ-If λ satisfies appropriate conditions, a series in a locally convex space X which is λ multiplier convergent in the weak topology is λ multiplier convergent in the original topology ofthe space (the Orlicz-Pettis Theorem) but may fail to be λ multiplier convergent in the strong topology of the space. However, we show under apprpriate conditions on the multiplier space λ that the series will have strongly bounded partial sums. | 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/1288/1000 | |
| dc.rights | Derechos de autor 2014 Proyecciones. Journal of Mathematics | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 33 No 2 (2014); 205-213 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 33 Núm. 2 (2014); 205-213 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Orlicz-Pettis Theorem | es-ES |
| dc.subject | locally convex spaces | es-ES |
| dc.subject | convergence | es-ES |
| dc.subject | teorema de Orlicz-Pettis | es-ES |
| dc.subject | espacios localmente convexos | es-ES |
| dc.subject | convergencia. | es-ES |
| dc.title | Strongly Bounded Partial Sums | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
