Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917708098961408 |
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| author | Bayart, Frédéric Yao, Xingxing |
| author_facet | Bayart, Frédéric Yao, Xingxing |
| contents | Let $φ$ be a holomorphic map which is a symbol of a bounded composition operator $C_φ$ acting on the Hardy-Hilbert space of Dirichlet series. We find a Königs map for $φ$. We then deduce several applications on $C_φ$ (e.g. on its spectrum, on its dynamical properties). In particular, we study for a large class of symbols $φ$ if the associated composition operator has a minimal commutant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19737 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series Bayart, Frédéric Yao, Xingxing Functional Analysis Let $φ$ be a holomorphic map which is a symbol of a bounded composition operator $C_φ$ acting on the Hardy-Hilbert space of Dirichlet series. We find a Königs map for $φ$. We then deduce several applications on $C_φ$ (e.g. on its spectrum, on its dynamical properties). In particular, we study for a large class of symbols $φ$ if the associated composition operator has a minimal commutant. |
| title | Königs maps and commutants of composition operators on the Hardy-Hilbert space of Dirichlet series |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2406.19737 |