On a-Topological Vector Spaces anda-irresolute gauges
The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0.
- Autores:
-
Al-Hawary, Talal
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/68369
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/68369
http://bdigital.unal.edu.co/69402/
- Palabra clave:
- 51 Matemáticas / Mathematics
a-open set
pseudonorm
locally convex a-topological vector space
a-conjunto abierto
pseudonorma
a-espacio vectorial topológico localmente convexo
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The aim of this paper is to provide a characterization of α-irresolute maps that were introduced in [1]. If p is the gauge of an absolutely convex and absorbent subset U of an α-topological vector space, then p is shown to be α-irresolute if and only if U is an α-neighborhood of 0. |
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