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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.00424 |
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| _version_ | 1866909712553869312 |
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| author | Li, Jian Wang, Xinsheng |
| author_facet | Li, Jian Wang, Xinsheng |
| contents | This paper focuses on the dense uniform Li-Yorke chaos for linear operators on a Banach space. Some sufficient conditions and equivalent conditions are established under which the dynamical system is densely uniformly Li-Yorke chaotic. It is shown that there are plenty of densely uniformly Li-Yorke chaotic operators. For unilateral backward weighted shifts and bilateral backward weighted shifts on $\ell^p$, it is shown that Li-Yorke chaos is equivalent to dense uniform Li-Yorke chaos. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_00424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dense uniform Li-Yorke chaos for linear operators on a Banach space Li, Jian Wang, Xinsheng Dynamical Systems This paper focuses on the dense uniform Li-Yorke chaos for linear operators on a Banach space. Some sufficient conditions and equivalent conditions are established under which the dynamical system is densely uniformly Li-Yorke chaotic. It is shown that there are plenty of densely uniformly Li-Yorke chaotic operators. For unilateral backward weighted shifts and bilateral backward weighted shifts on $\ell^p$, it is shown that Li-Yorke chaos is equivalent to dense uniform Li-Yorke chaos. |
| title | Dense uniform Li-Yorke chaos for linear operators on a Banach space |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2502.00424 |