论文标题
本地准凸abelian组和Mackey组问题上的兼容组拓扑
Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem
论文作者
论文摘要
对于本地准凸（LQC）Abelian Group $ g $，我们对$ G $上的所有兼容组拓扑进行了首次描述，并将此结果应用于LQC组的Mackey组问题。我们表征LQC Abelian群体是Mackey组或接纳Mackey组拓扑，并提供了两个Mackey组的表征，其产品是Mackey。我们获得了Mackey组的本地凸空间的第一个表征。
For a locally quasi-convex (lqc) abelian group $G$, we give the first description of all compatible group topologies on $G$ and apply this result to the Mackey group problem for lqc groups. We characterize lqc abelian groups which are Mackey groups or admit a Mackey group topology and provide a characterization of two Mackey groups whose product is Mackey. We obtain the first characterization of locally convex spaces which are Mackey groups.
