| dc.creator | Ronglu, Li | |
| dc.creator | Swartz, Charles | |
| dc.date | 2015-12-01 | |
| dc.date.accessioned | 2019-11-14T11:59:11Z | |
| dc.date.available | 2019-11-14T11:59:11Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/1245 | |
| dc.identifier | 10.4067/S0716-09172015000400007 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/113036 | |
| dc.description | Let E, F be sets and G a Hausdorff, abelian topological group with b : E X F→ G; we refer to E, F, G as an abstract duality pair with respect to G or an abstract triple and denote this by (E,F : G). Let (Ei,Fi : G) be abstract triples for i = 1, 2. Let Fi be a family of subsets of Fi and let τFi(Ei) = τibe the topology on Ei of uniform convergence on the members of Fi. Let J be a family of mappings from Ei to E2. We consider conditions which guarantee that J is τ1-τ2equicontinuous. We then apply the results to obtain versions of the Banach-Steinhaus Theorem for both abstract triples and for linear operators between locally convex spaces. | 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/1245/958 | |
| dc.rights | Derechos de autor 2015 Proyecciones. Journal of Mathematics | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 34 No 4 (2015); 391-399 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 34 Núm. 4 (2015); 391-399 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Matemáticas. | es-ES |
| dc.title | The Banach-Steinhaus Theorem in Abstract Duality Pairs | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
