Cyclicity in rank-1 perturbation problems

DOI10.1112/JLMS/JDT028zbMath1283.47011arXiv1111.3095OpenAlexW3105968675MaRDI QIDQ2854253

Constanze Liaw, Evgeny V. Abakumov, Alexei G. Poltoratski

Publication date: 18 October 2013

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3095

zbMATH Keywords

self-adjoint operatorunitary operatorcyclic vectorAnderson-type Hamiltonianrank-1 perturbation

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Random linear operators (47B80) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ Approach to the extended states conjecture ⋮ Generalized Kotani's trick for unitary operators ⋮ Rank-one perturbations and Anderson-type Hamiltonians

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