Abstract
In the main result of the paper we give the first example of a Mackey (even metrizable) locally convex space E which is not a Mackey group in the class LQC of all locally quasi-convex abelian groups. We also show that a countable metrizable locally precompact group G is a Mackey group in the class MAPA of all maximally almost periodic abelian groups if and only if G is discrete.
Original language | American English |
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Pages (from-to) | 11-23 |
Number of pages | 13 |
Journal | Topology and its Applications |
Volume | 211 |
DOIs | |
State | Published - 15 Sep 2016 |
Keywords
- Characterizable group
- Locally convex space
- Locally precompact group
- Locally quasi-convex topology
- Mackey topology
- T-sequence
All Science Journal Classification (ASJC) codes
- Geometry and Topology