Limiting absorption principle for contractions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914802608111616 |
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| author | Asch, Joachim Bourget, Olivier |
| author_facet | Asch, Joachim Bourget, Olivier |
| contents | We establish limiting absorption principles for contractions on a Hilbert space. Our sufficient conditions are based on positive commutator estimates. We discuss the dynamical implications of this principle to the corresponding discrete-time semigroup and provide several applications. Notably to Toeplitz operators and contractive quantum walks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limiting absorption principle for contractions Asch, Joachim Bourget, Olivier Mathematical Physics We establish limiting absorption principles for contractions on a Hilbert space. Our sufficient conditions are based on positive commutator estimates. We discuss the dynamical implications of this principle to the corresponding discrete-time semigroup and provide several applications. Notably to Toeplitz operators and contractive quantum walks. |
| title | Limiting absorption principle for contractions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2405.11664 |