On spaceability of shifts-like operators on $L^p$
Functional Analysis
2023-09-06 v1
Abstract
We prove the spaceability of the set of hypercyclic vectors for {\em shifts-like operators}. Shift-like operators appear naturally as composition operators on , when the underlying space is dissipative. In the process of proving the main theorem, we provide, among other results of independent interest, a characterization of weakly mixing dissipative composition operators of bounded distortion.
Keywords
Cite
@article{arxiv.2211.07224,
title = {On spaceability of shifts-like operators on $L^p$},
author = {Emma D'Aniello and Martina Maiuriello},
journal= {arXiv preprint arXiv:2211.07224},
year = {2023}
}