×

zbMATH — the first resource for mathematics

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.

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
PDF BibTeX XML Cite
Full Text: EuDML