On g-barrelled groups and their permanence properties
The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that g-barrelledness is a multiplicative property, thus we obtain new examples of g-barrelled groups...
| Autores: | , , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2019 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/12883 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/12883 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 515.1 g-barrelled group Barrelled space Reexive group Mackey topology Pointwise convergence topology Equicontinuous set Topología 1210 Topología |
| Resumo: | The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that g-barrelledness is a multiplicative property, thus we obtain new examples of g-barrelled groups. We also prove that direct sums and inductive limits of g-barrelled locally quasi-convex groups are g-barrelled, too. Other permanence properties are considered as well. |
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