Limiting absorption principle for contractions
Mathematical Physics
2024-05-21 v1 math.MP
Abstract
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.
Cite
@article{arxiv.2405.11664,
title = {Limiting absorption principle for contractions},
author = {Joachim Asch and Olivier Bourget},
journal= {arXiv preprint arXiv:2405.11664},
year = {2024}
}