On reflexive groups and function spaces with a Mackey group topology

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Abstract

We prove that every reflexive abelian group $G$ such that its dual group $G^\wedge$ has the $qc$-Glicksberg property is a Mackey group. We show that a reflexive abelian group of finite exponent is a Mackey group. We prove that, for a realcompact space $X$, the space $C_k(X)$ is barrelled if and only if it is a Mackey group.
Original languageEnglish GB
StatePublished - 2016

Publication series

NameArxiv preprint

Keywords

  • math.GN
  • 22A10, 22A35, 43A05, 43A40, 54H11

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