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

S. S. Gabriyelyan

doi:10.1016/j.jpaa.2014.09.035

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

S. S. Gabriyelyan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 language	English
Pages (from-to)	2989-3008
Number of pages	20
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2014.09.035
State	Published - 1 Jul 2015

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2014.09.035

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title = "On reflexivity of the group of the null sequences valued in an Abelian topological group",

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.",

author = "Gabriyelyan, \{S. S.\}",

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AB - 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.

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JO - Journal of Pure and Applied Algebra

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

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