On the chaoticity and spectral structure of Rolewicz-type unbounded operators

Abstract

We prove the chaoticity and describe the spectral structure of Rolewicz-type weighted backward shift unbounded linear operators in the sequence spaces $l_p$ ($1\le p<\infty$) and $c_0$.

Essentially modified and renamed considering going beyond hypercyclicity to chaoticity and describing the spectral structure for the operators in question. Updated Bibliography and Acknowledgements. There is a natural text overlap with arXiv:1807.07423 and arXiv:1812.02294 in the Preliminaries section containing introductory information, definitions, and general remarks