Regular inductive limits of K-spaces

Autores: Thomas E. Gilsdorf
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 1, 1991, págs. 45-49
Idioma: inglés
Títulos paralelos:
- Límites inductivos regulares de espacios K
Enlaces
- Texto completo
Resumen
- A well-known result for bounded sets in inductive limits of locally convex spaces is the following: If each of the constituent spaces En are Fréchet spaces and E is the inductive limit of the spaces En, then each bounded subset of E is bounded in some En iff E is locally complete. Using DeWilde's localization theorem, we show here that the completeness of each En and the local completeness of E may be replaced with the conditions that the spaces En are all webbed K-spaces and E is locally Baire, respectively.