Normed spaces which are not mackey groups

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Abstract

It is well known that every normed (even quasibarrelled) space is a Mackey space. However, in the more general realm of locally quasi-convex abelian groups an analogous result does not hold. We give the first examples of normed spaces which are not Mackey groups.

Original languageEnglish
Article number217
JournalAxioms
Volume10
Issue number3
DOIs
StatePublished - 1 Sep 2021

Keywords

  • Compatible group topology
  • Locally quasi-convex
  • Mackey group
  • Normed space

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