Supercyclic weighted composition operators on the space of smooth functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916856079581184 |
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| author | Bes, J. Foster, C. |
| author_facet | Bes, J. Foster, C. |
| contents | A weighted composition operator on the space of scalar-valued smooth functions on an open set of d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing. Every mixing such operator is chaotic. In the one-dimensional case, it is supercyclic if and only if it is mixing and if and only if it is chaotic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16425 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supercyclic weighted composition operators on the space of smooth functions Bes, J. Foster, C. Functional Analysis 47A16, 47B33, 47B38 A weighted composition operator on the space of scalar-valued smooth functions on an open set of d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing. Every mixing such operator is chaotic. In the one-dimensional case, it is supercyclic if and only if it is mixing and if and only if it is chaotic. |
| title | Supercyclic weighted composition operators on the space of smooth functions |
| topic | Functional Analysis 47A16, 47B33, 47B38 |
| url | https://arxiv.org/abs/2507.16425 |