Unbounded Chaotic Weighted Pseudo-shift
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 $wC_φ$ on $\ell^p$ or $c_0$. Moreover we use the hypercyclicity criterion of Bès, Chan, and Seubert to give a necessary and sufficient condition in order that $wC_φ$ be a chaotic operator.
math.FA↗