Limiting absorption principle for contractions
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 Toe...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2405.11664 |