We wish to investigate mean ergodic theorems for generalizations of almost periodic functions on semigroups, as well as for semigroups of operators in the framework of locally convex spaces. Specially, we present functional characterizations of concepts of almost periodicity for vector-valued functions.

中文翻译：

---

局部凸空间中的几乎周期性和遍历定理的概念

我们希望研究半群上几乎周期函数的推广的平均遍历定理，以及局部凸空间框架中算子半群的推广。特别地，我们提出了向量值函数的几乎周期性概念的函数表征。