拓扑群上的不变积分
Invariant Integrals on Topological Groups
摘要：
本文将Monod在\cite{monod}中给出的作用在凸锥上的离散群的不动点性质推广到拓扑群。首先，我们着重从泛函的角度描述这个不动点性质，然后我们研究具有这个不动点性质的群的类，最后，我们讨论这个不动点性质的一些应用。为了完成这些任务，我们引入了一类新的赋范Riesz空间，依赖于群表示。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
