A stationary approach for the Kato-Rosenblum theorem in von Neumann algebras

DOI10.1007/s43037-022-00246-xOpenAlexW4315786925WikidataQ122420657 ScholiaQ122420657MaRDI QIDQ2111522

Qihui Li, Rui Wang

Publication date: 17 January 2023

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04135

zbMATH Keywords

von Neumann algebrasgeneralized wave operatorsstationary approach

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Scattering theory of linear operators (47A40) Linear operators in (C^*)- or von Neumann algebras (47C15)

Cites Work

• Perturbation of the continuous spectrum and unitary equivalence
• Stationary scattering theory for unitary operators with an application to quantum walks
• Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem
• Perturbation theory for linear operators.
• A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras
• Wave operators and similarity for some non-selfadjoint operators
• On rings of operators
• On rings of operators. III
• On rings of operators. IV
• Perturbation of continuous spectra by Trace class operators
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