On Mackey topology for groups. (English) Zbl 0930.46006

Chasco, M. J.; Martín-Peinador, E.; Tarieladze, V.

Stud. Math. 132, No. 3, 257-284 (1999).

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.

Reviewer: J.Howard (Las Vegas /New Mexico)

MSC:

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

Keywords:

group topologies compatible with a given duality; complete metrizable topological Abelian group; locally quasiconvex topology; Mackey topology