Title
Uniform distributional chaos for weighted shift operators.
Abstract
In this paper, we shall further investigate the dynamical properties of general weighted shift operators. It is proved that the weighted shift operator exhibits uniform distributional chaos and this property is preserved under iterations. Besides, we prove that the principal measure of the weighted shift operator is equal to 1.
Year
DOI
Venue
2013
10.1016/j.aml.2012.04.008
Applied Mathematics Letters
Keywords
Field
DocType
Weighted shift operator,Uniform distributional chaos,Principal measure
Shift operator,Mathematical analysis,Operator (computer programming),Mathematics
Journal
Volume
Issue
ISSN
26
1
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Xinxing Wu16818.44
Peiyong Zhu2598.68
Tian-Xiu Lu394.03