Strong Proximality for Discontinuous Skew-Product Actions of Amenable Semigroups

被引：0
|
作者：
Jafari, Meysam [1 ]
Sahleh, Abbas [1 ]
Tootkaboni, Mohammad Akbari [1 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Pure Math, Rasht, Guilan, Iran
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 04期
关键词：
Amenable semigroup; Banach proximality; skew-product action; strong proximality; SYSTEMS;
D O I：
10.1007/s00009-023-02404-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The invariant Borel probability measures play a crucial role in the study of the notion of the support of topological dynamical systems. Unfortunately, general systems with (spatial) discontinuity may not admit any invariant Borel probability measure. In this paper, we study the notion of the support of skew-product amenable semigroup action systems which may admit discontinuity. We also establish a characterization of strong proximality for these actions based on Banach proximality.
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页数：19
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