ALMOST PERIODICITY AND EQUICONTINUITY OF THE TOPOLOGICAL TRANSFORMATION GROUP  

作　　者：Li Zhicong Li Juntao 

机构地区：[1]School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083, China. [2]College of Mathematics and Information Science, Henan Normal University, Henan 453007, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期467-472,共6页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the NNSF of China(10371030).

摘　　要：In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transformation group is topologically equivalent to an isometric one if it is uniformly equicontinuous.In this paper, a characterization of almost periodicity of topological transformation groups on uniform spaces is given. By searching the appropriate base for uniform structure, it is shown that the topological transformation group is topologically equivalent to an isometric one if it is uniformly equicontinuous.

关 键 词：uniform space topological transformation group EQUICONTINUITY almost periodicity compactly almost periodicity. 

分 类 号：O152[理学—数学]