Spectra of generators of hyperbolic composition and weighted composition semigroups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910245100453888 |
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| author | Gao, Yong-Xin Zhou, Ze-Hua |
| author_facet | Gao, Yong-Xin Zhou, Ze-Hua |
| contents | In this paper, we provide complete characterizations for the spectrum, essential spectrum, and point spectrum of the generators of weighted composition $C_0$-semigroups induced by hyperbolic semiflows on Bergman spaces. We give an explicit example showing that the spectral properties can be influenced by the behavior of the semigroup near non-fixed self-contact points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_22048 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectra of generators of hyperbolic composition and weighted composition semigroups Gao, Yong-Xin Zhou, Ze-Hua Functional Analysis In this paper, we provide complete characterizations for the spectrum, essential spectrum, and point spectrum of the generators of weighted composition $C_0$-semigroups induced by hyperbolic semiflows on Bergman spaces. We give an explicit example showing that the spectral properties can be influenced by the behavior of the semigroup near non-fixed self-contact points. |
| title | Spectra of generators of hyperbolic composition and weighted composition semigroups |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2605.22048 |