On certain actions of semi-groups on L-spaces
Let be an Abelian topological group. A subgroup of is characterized if there is a sequence in the dual group of such that . We reduce the study of characterized subgroups of to the study of characterized subgroups of compact metrizable Abelian groups. Let be the group of all -valued null sequences and be the uniform topology on . If is compact we prove that is a characterized subgroup of if and only if , where and is a finite Abelian group. For every compact Abelian...