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For an abelian topological group G, let G? denote the character group of G. The group G is called reflexive if the evaluation map is a topological isomorphism of G onto G??, and G is called strongly reflexive if all closed subgroups and quotient[...]texto impreso
By the weak topology on an Abelian topological group we mean the topology induced by the family of all continuous characters. A well-known theorem of I. Glicksberg says that weakly compact subsets of locally compact Abelian (LCA) groups are comp[...]texto impreso
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 th[...]
