Uniform distributional chaos for weighted shift operators

作者：Wu, Xinxing^*; Zhu, Peiyong; Lu, Tianxiu

来源：Applied Mathematics Letters, 2013, 26(1): 130-133.

DOI：10.1016/j.aml.2012.04.008

• Weighted shift operator
• Uniform distributional chaos
• Principal measure

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.

• 出版日期2013-1
• 单位四川轻化工大学; 电子科技大学