On rank one and Weyl-von Neumann theorem for multiplicative perturbations of unitary operators

DOI10.4171/ZAA/1748MaRDI QIDQ6546017

Vanderléa R. Bazao, César R. de Oliveira, Pablo Díaz

Publication date: 29 May 2024

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

unitary operatorsmultiplicative perturbationrank one perturbationsWeyl-von Neumann theorem

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

• Analogs of the \(m\)-function in the theory of orthogonal polynomials on the unit circle
• Spectral properties of a periodically kicked quantum Hamiltonian
• Intermediate spectral theory and quantum dynamics
• Transport properties of kicked and quasiperiodic Hamiltonians
• Operators with singular continuous spectrum. II: Rank one operators
• Operators with singular continuous spectrum. I: General operators
• On the Birman-Krein theorem

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