Abstract
In this paper, we initially introduce the concept of disjoint subspace-hypercyclic operators and illustrate that disjoint subspace-hypercyclic operators differ from disjoint hypercyclic operators. Furthermore, we obtain two different criteria for disjoint subspace-hypercyclic operators. Finally, we discover an equivalent condition regarding the bilateral forward weighted shift operators’ disjoint subspace-transitivity on \(c_{0}(\mathbb {Z})\) or \(l^{p}(\mathbb {Z})\) in a certain special case.
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Acknowledgements
The work was supported in part by the National Natural Science Foundation of China (Grant no. 12171353 and Grant no. 12201452).
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Communicated by Kehe Zhu.
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Chen, R., Chen, X. & Zhou, Z. Disjoint subspace-hypercyclic operators on separable Banach spaces. Ann. Funct. Anal. 15, 28 (2024). https://doi.org/10.1007/s43034-024-00322-3
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DOI: https://doi.org/10.1007/s43034-024-00322-3
Keywords
- Subspace-hypercyclicity
- Disjoint hypercyclicity
- Separable Banach space
- Bilateral weighted shift operators