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On Mackey topology for groups. (English) Zbl 0930.46006
This paper is a study of group topologies compatible with a given duality. Result: For a complete metrizable topological Abelian group, there always exists a finest locally quasiconvex topology with the same set of continuous characters as the original topology. For the additive group of a complete metrizable topological vector space, this topology coincides with the ordinary Mackey topology.

46A20 Duality theory for topological vector spaces
46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
43A40 Character groups and dual objects
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