Limiting absorption principle for contractions

Published 19 May 2024 in math-ph and math.MP | (2405.11664v1)

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.

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