Distributional and mean Li-Yorke chaos for weighted shifts on Fréchet sequence spaces
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908938728898560 |
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| author | Pinto, João V. A. |
| author_facet | Pinto, João V. A. |
| contents | In this paper, we give characterizations of distributional chaos and mean Li$-$Yorke chaos for weighted backward shifts acting on general Fréchet sequence spaces. As an application, we derive criteria for these two types of chaos in the setting of Köthe sequence spaces $λ_p(A,J)$ for $p \in \{0\}\cup [1, \infty)$ and $J=\mathbb{N}$ or $J=\mathbb{Z}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02457 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distributional and mean Li-Yorke chaos for weighted shifts on Fréchet sequence spaces Pinto, João V. A. Functional Analysis Dynamical Systems Primary 47A16, 47B33, 37B05. Secondary 46E10, 46E15 In this paper, we give characterizations of distributional chaos and mean Li$-$Yorke chaos for weighted backward shifts acting on general Fréchet sequence spaces. As an application, we derive criteria for these two types of chaos in the setting of Köthe sequence spaces $λ_p(A,J)$ for $p \in \{0\}\cup [1, \infty)$ and $J=\mathbb{N}$ or $J=\mathbb{Z}$. |
| title | Distributional and mean Li-Yorke chaos for weighted shifts on Fréchet sequence spaces |
| topic | Functional Analysis Dynamical Systems Primary 47A16, 47B33, 37B05. Secondary 46E10, 46E15 |
| url | https://arxiv.org/abs/2603.02457 |