On the Mackey topology for abelian topological groups and locally convex spaces

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8 Scopus citations

Abstract

In the main result of the paper we give the first example of a Mackey (even metrizable) locally convex space E which is not a Mackey group in the class LQC of all locally quasi-convex abelian groups. We also show that a countable metrizable locally precompact group G is a Mackey group in the class MAPA of all maximally almost periodic abelian groups if and only if G is discrete.

Original languageEnglish
Pages (from-to)11-23
Number of pages13
JournalTopology and its Applications
Volume211
DOIs
StatePublished - 15 Sep 2016

Keywords

  • Characterizable group
  • Locally convex space
  • Locally precompact group
  • Locally quasi-convex topology
  • Mackey topology
  • T-sequence

ASJC Scopus subject areas

  • Geometry and Topology

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