度量G-空间中强一致收敛条件下混合性的研究  

The Research of Mixing Property Under the Condition of Strong Uniform Convergence in Metric G-spaces

作　　者：冀占江 JI Zhan-jiang(School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, China;Laboratory of Complex Systems Simulation and Intelligent Computing, Wuzhou University, Wuzhou 543002, China)

机构地区：[1]梧州学院信息与电子工程学院 [2]梧州学院复杂系统仿真与智能计算实验室

出　　处：《数学的实践与认识》2018年第11期237-240,共4页Mathematics in Practice and Theory

基　　金：硕士学位授予单位立项建设项目(桂学位[2013]4号);梧州学院校级科研项目(2017C001)

摘　　要：结合紧致度量空间中拓扑弱混合和轻度混合能够被强一致收敛所遗传．首先，仿造度量空间中强一致收敛的定义，给出了度量G-空间中G-强一致收敛的概念；其次，证明了在紧致度量G-空间中，G-弱混合性、G-轻度混合性和G-混合性能够被G-强一致收敛所遗传．combining that topological weakly mixing and topological mild mixing can be inherited by strong uniform convergence in compact metric spaces. Firstly, according to the definition of strong uniform convergence of the metric spaces, the concept of G-strong uniform convergence of the metric G- spaces is given in this paper. Secondly it is proved that G-weak mixing, G-mild mixing and G-mixing can be inherited by G-strong uniform convergence in compact metric G-spaces.

关 键 词：G-弱混合 G-轻度混合 G-混合 G-强一致收敛 

分 类 号：O189.11[理学—数学]