摘要
In this paper,we study the proximal relation,regionally proximal relation and Banach proximal relation of a topological dynamical system for amenable group actions.A useful tool is the support of a topological dynamical system which is used to study the structure of the Banach proximal relation,and we prove that above three relations all coincide on a Banach mean equicontinuous system generated by an amenable group action.
作者
连媛
黄小军
李智强
Yuan LIAN;Xiaojun HUANG;Zhiqiang LI(College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China;Chongqing Key Laboratory of Analytic Mathematics and Applications,Chongqing University,Chongqing 401331,China)
基金
supported by NSF of China(11671057)
NSF of Chongqing(cstc2020jcyj-msxm X0694)
the Fundamental Research Funds for the Central Universities(2018CDQYST0023)。
