A normability criterion.(Spanish: Un criterio de normabilidad)
The author proves that a metrizable locally convex space E is a normable space if and only if there exists a scalar 1 such that the linear mapping x→1x from E to E is contractive for every metric compatible with the topology of E .
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 1969 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | español |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/64725 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/64725 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.982.22 Normed linear spaces Banach spaces Topología 1210 Topología |
| Sumario: | The author proves that a metrizable locally convex space E is a normable space if and only if there exists a scalar 1 such that the linear mapping x→1x from E to E is contractive for every metric compatible with the topology of E . |
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