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arXiv · 2510.00445

Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules

Song-Ung Ri·Hyon-Hui Ju·Jin-Myong Kim
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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.

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Song-Ung Ri, Hyon-Hui Ju, Jin-Myong Kim. 2025-10-01. Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules. https://arxiv.org/abs/2510.00445

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