On reflexivity of the group of the null sequences valued in an Abelian topological group

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Abstract

We prove that the group F0(X) of all X-valued null sequences endowed with the uniform topology is reflexive for every locally compact Abelian group X. This gives a wide class of complete reflexive non-locally precompact Abelian groups.

Original languageEnglish
Pages (from-to)2989-3008
Number of pages20
JournalJournal of Pure and Applied Algebra
Volume219
Issue number7
DOIs
StatePublished - 1 Jul 2015

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