Uniform distributional chaos for weighted shift operators |
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| Authors: | Xinxing Wu Peiyong Zhu Tianxiu Lu |
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| Institution: | 1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China;2. Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, PR China |
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| 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. |
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