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.
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 |
