Disjoint Ces$\grave{a}$ro-hypercyclic operators

Qing Wang; Yonglu Shu

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arXiv · 2504.12101

Disjoint Ces$\grave{a}$ro-hypercyclic operators

Qing Wang·Yonglu Shu

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Abstract

In this paper, we investigate the properties of disjoint Ces$\grave{a}$ro-hypercyclic operators. First, the definition of disjoint Ces$\grave{a}$ro-hypercyclic operators is provided, and disjoint Ces$\grave{a}$ro-Hypercyclicity Criterion is proposed. Later, two methods are used to prove that operators satisfying this criterion possess disjoint Ces$\grave{a}$ro-hypercyclicity. Finally, this paper further investigates weighted shift operators and provides detailed characterizations of the weight sequences for disjoint Ces$\grave{a}$ro-hypercyclic unilateral and bilateral weighted shift operators on sequence spaces.

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BibTeX RIS

Qing Wang, Yonglu Shu. 2025-04-16. Disjoint Ces$\grave{a}$ro-hypercyclic operators. https://arxiv.org/abs/2504.12101

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