Characterized Subgroups of Topological Abelian Groups
A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known in the compact case. For a better description,...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2015-10-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/4/4/459 |