| dc.creator | Bernandino, A. Thiago | es |
| dc.date | 2025-04-15 | |
| dc.date.accessioned | 2025-10-06T15:05:04Z | |
| dc.date.available | 2025-10-06T15:05:04Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1362 | |
| dc.identifier | 10.4067/S0716-09172009000300001 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/255497 | |
| dc.description | The goal of this note is to give a new, simple and elegant proof to the Uniform Boundedness Principle (UBP) to m-linear mappings, which surprisingly, as far as we know, does not appear in the literature. The multilinear UBP is well-known for specialists but the original proof (presented in [4]) seems a little bit unnatural and uses the linear UBP. In the present note we show a quite simple argument which does not need to invoke the linear UBP and, when m = 1, recovers the classical proof of the linear case. As an immediate consequence, we obtain the Banach-Steinhaus Theorem (BST) for multilinear mappings. | 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/1362/1168 | |
| dc.rights | Copyright (c) 2009 Proyecciones. Journal of Mathematics | en |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en |
| dc.source | Proyecciones (Antofagasta); Vol. 28 No. 3 (2009); 203-207 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 28 Núm. 3 (2009); 203-207 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2009 | |
| dc.title | A simple natural approach to the uniform boundedness principle for mutilinear mappings | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
