Metrizable extensions of dynamical systems from function algebras

被引：0
作者：
Juan J. Font
Manuel Sanchis
机构：
[1] Universitat Jaume I,Departmento de Matemáticas
来源：
Annali di Matematica Pura ed Applicata | 1999年 / 176卷 / 1期
关键词：
Primary 46L55; Secondary 34C35; 54H20; 58F13;
D O I：
10.1007/BF02505988
中图分类号：
学科分类号：
摘要：
Peters and Pennings introduced and studied in [9] and [11] a kind of extensions of dynamical systems induced by certain C*-algebras, which they calltame extensions. In this paper we study the behaviour of metrizable tame extensions when some of the most important dynamical concepts related to the metric (such as sources, sinks, saddles, the shadowing property and distallity) are considered. We will confirm that these extensions can be troublesome in this context. We show, however, that sources and sinks are preserved under certain conditions.
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页码：49 / 55
页数：6
相关论文
共 5 条
[1]  
Brouwer L. E. J.(1910)On the structure of perfect sets of points Proc. Akad. Amsterdam 12 785-794
[2]  
Pennings T.(1989)Dynamical systems from function algebras Proc. A.M.S. 105 80-86
[3]  
Peters J.(1991)Chaotic extensions of dynamical systems by function algebras J. Math. Anal. Appl. 159 345-360
[4]  
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[5]  
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