The Exact $\varepsilon$-Hypercyclicity Threshold
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912662133145600 |
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| author | Ribeiro, Geivison |
| author_facet | Ribeiro, Geivison |
| contents | In this paper we give an affirmative answer to the problem proposed by Bayart in [J. Math. Anal. Appl. \textbf{529} (2024), 127278]: given $\varepsilon\in(0,1)$, there exists an operator which is $δ$-hypercyclic if and only if $δ\in[\varepsilon,1)$? |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09406 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Exact $\varepsilon$-Hypercyclicity Threshold Ribeiro, Geivison Dynamical Systems 47A16, 47B37, 47A35, 37B20, 37A46 In this paper we give an affirmative answer to the problem proposed by Bayart in [J. Math. Anal. Appl. \textbf{529} (2024), 127278]: given $\varepsilon\in(0,1)$, there exists an operator which is $δ$-hypercyclic if and only if $δ\in[\varepsilon,1)$? |
| title | The Exact $\varepsilon$-Hypercyclicity Threshold |
| topic | Dynamical Systems 47A16, 47B37, 47A35, 37B20, 37A46 |
| url | https://arxiv.org/abs/2509.09406 |