Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules
Functional Analysis
2025-10-02 v1 Analysis of PDEs
Abstract
In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generalized bilateral weighted shift operator on the standard Hilbert C-module over C-algebra of compact operators on a separable Hilbert space.
Keywords
Cite
@article{arxiv.2510.00445,
title = {Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules},
author = {Song-Ung Ri and Hyon-Hui Ju and Jin-Myong Kim},
journal= {arXiv preprint arXiv:2510.00445},
year = {2025}
}