Hypercyclic Generalized Shift Operators

Abstract

In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.

This preprint has not undergone peer review (when applicable) or any post-submission improvements or corrections. The Version of the Record of this article is published in Complex Analysis and Operator Theory, and is available online at https://doi.org/10.1007/s11785-023-01376-2

References in corpus (1)

• Linear dynamics of cosine operator functions on solid Banach function spaces

Cited by in corpus (5)

• Hypercyclic Operators on Hilbert C*-modules
• Porosity and supercyclic operators on solid Banach function spaces
• Disjoint F-semi-transitivity in Banach algebras
• Dynamics on weighted solid Banach function spaces
• Dynamics of operators on the space of Radon measures