论文标题
在小组动作下，有界可测量功能不变的空间不变
Spaces of Bounded Measurable Functions Invariant Under a Group Action
论文作者
论文摘要
在本文中，我们表征了紧凑的Hausdorff空间上$ l^\ infty $ functions的空间，该空间是在瞬时且连续的组动作下不变的。这项工作概括了作者的2021结果，该结果涉及单位的特定情况和$ l^\ int iftty $ functions的Möbius不变空间，该空间在$ \ mathbb {c}^n $中定义的单位球体上定义了。
In this paper we characterize spaces of $L^\infty$-functions on a compact Hausdorff space that are invariant under a transitive and continuous group action. This work generalizes the author's 2021 results concerning the specific case of unitarily and Möbius invariant spaces of $L^\infty$-functions defined on the unit sphere in $\mathbb{C}^n$.
