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

Qing Wang; Yonglu Shu

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

Functional Analysis 2025-05-29 v2

Authors: Qing Wang , Yonglu Shu

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.

Keywords

hypercyclicity

Cite

@article{arxiv.2504.12101,
  title  = {Disjoint Ces$\grave{a}$ro-hypercyclic operators},
  author = {Qing Wang and Yonglu Shu},
  journal= {arXiv preprint arXiv:2504.12101},
  year   = {2025}
}

Comments

revise example space(example 1.1, 1.2, 1.3), definition 3.4 adds a condition that the sequence $(n_k)$ is increasing, theorem 4.1(complex scalar field)

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

Abstract

Keywords

Cite

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