Carácter topológico de Isomorfismo del Borel
Let E be a DFN space, E' its strong topological dual, H(E) and H(E') the corresponding spaces of holomorphic functions from E and E' into endowed with the respective compact-open topologies and Exp E' the vector subspace of H(E') consisting of the entire functions of exponen...
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| Tipo de recurso: | capítulo de libro |
| Fecha de publicación: | 1977 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | español |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/65482 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/65482 |
| Access Level: | acceso abierto |
| Palabra clave: | 515.171.5 Teoría de conjuntos 1201.02 Teoría Axiomática de Conjuntos |
| Sumario: | Let E be a DFN space, E' its strong topological dual, H(E) and H(E') the corresponding spaces of holomorphic functions from E and E' into endowed with the respective compact-open topologies and Exp E' the vector subspace of H(E') consisting of the entire functions of exponential type on E'. In this article we endow Exp E' with a vector space topology and show that Borel´s Transformation is an isomorphism between the topological vector spaces h(E') (strong topological dual of H(E)) and Exp E'. |
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