论文标题
拓扑组的不变积分
Invariant Integrals on Topological Groups
论文作者
论文摘要
我们将作用于\ cite {monod}给出的凸锥上的离散组的离散组概括为拓扑组。首先，我们专注于从功能的角度描述此定点属性，然后查看具有它的组的类别。最后，我们通过此定点属性的某些应用程序。为了完成这些任务，我们介绍了依赖组表示的新类规范的Riesz空间。
We generalize the fixed-point property for discrete groups acting on convex cones given by Monod in \cite{monod} to topological groups. At first, we focus on describing this fixed-point property from a functional point of view, and then we look at the class of groups that have it. Finally, we go through some applications of this fixed-point property. To accomplish these tasks, we introduce a new class of normed Riesz spaces that depend on group representation.
