Hypercyclic Operators on Hilbert C*-modules
Operator Algebras
2024-01-17 v2 Functional Analysis
Abstract
In this paper, we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C*-algebra of compact operators on the separable Hilbert space. Moreover, we give necessary and sufficient conditions for these operators to be chaotic and we provide concrete examples. In addition, we characterize a class of hypercyclic operators on non-unital C*-algebras and we provide concrete examples.
Cite
@article{arxiv.2301.12265,
title = {Hypercyclic Operators on Hilbert C*-modules},
author = {Stefan Ivkovic},
journal= {arXiv preprint arXiv:2301.12265},
year = {2024}
}