Una nota sobre espacios localmente completos
Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded...
- Autores:
-
Gilsdorf, Thomas E.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1995
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43520
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43520
http://bdigital.unal.edu.co/33618/
- Palabra clave:
- Locally complete
Banach disk
locally reflexive
Localmente completa
disco de Banach
reflexiva localmente
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | Using standard locally convex spaces techniques, it is shown that local completeness is preserved under the formation of closed subspaces, projective limits, Cartesian products and locally convex direct sums. We also prove that if every bounded set in a locally convex space is contained in a bounded disk that generates a reflexive space, then the space is semi-reflexive and that a regular inductive limit of such locally reflexive spaces is also semi-reflexive. |
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