|
Título:
|
Weakly pseudocompact subsets of nuclear groups
|
|
Autores:
|
Martín Peinador, Elena ;
Banaszczyk, W
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Elsevier Science B.V. (North-Holland), 1999-05-17
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/restrictedAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Topología
,
Tipo = Artículo
|
|
Resumen:
|
Let G be an Abelian topological group and G(+) the group G endowed with the weak topology induced by continuous characters. We say that G respects compactness (pseudocompactness, countable compactness, functional boundedness) if G and G+ have the same compact (pseudocompact, countably compact, functionally bounded) sets. The well-known theorem of Glicksberg that LCA groups respect compactness was extended by Trigos-Arrieta to pseudocompactness and functional boundedness. In this paper we generalize these results to arbitrary nuclear groups, a class of Abelian topological groups which contains LCA groups and nuclear locally convex spaces and is closed with respect to subgroups, separated quotients and arbitrary products.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/16691/1/MPeina08.pdf
|
