We prove that every reflexive abelian group $G$ such that its dual group $G^\wedge$ has the $qc$-Glicksberg property is a Mackey group. We show that a reflexive abelian group of finite exponent is a Mackey group. We prove that, for a realcompact space $X$, the space $C_k(X)$ is barrelled if and only if it is a Mackey group.
|Original language||English GB|
|State||Published - 2016|
- 22A10, 22A35, 43A05, 43A40, 54H11