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arXiv · 2303.06829

Unbounded Chaotic Weighted Pseudo-shift

Ruxi Liang·Pengyu Qin·Yonglu Shu
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Abstract

In this paper, based on the work of Vijay K. Srivastava and Harish Chandra, we give a characterization of the unbounded hypercyclic weighted pseudo-shift operator $wC_{\varphi}$ on $\ell^p$ or $c_0$. Moreover we use the hypercyclicity criterion of B\`es, Chan, and Seubert to give a necessary and sufficient condition in order that $wC_{\varphi}$ be a chaotic operator.

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Ruxi Liang, Pengyu Qin, Yonglu Shu. 2023-03-13. Unbounded Chaotic Weighted Pseudo-shift. https://arxiv.org/abs/2303.06829

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