Characterized Subgroups of Topological Abelian Groups

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,...

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Bibliographic Details
Main Authors: Dikran Dikranjan, Anna Giordano Bruno, Daniele Impieri
Format: Article
Language:English
Published: MDPI AG 2015-10-01
Series:Axioms
Subjects:
characterized subgroup
T-characterized subgroup
T-sequence
TB-sequence
von Neumann radical
convergent sequence
null sequence
abelian group
Online Access:http://www.mdpi.com/2075-1680/4/4/459

Internet

http://www.mdpi.com/2075-1680/4/4/459

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