Rank one perturbations of diagonal operators without eigenvalues

DOI10.1007/s00020-015-2250-5zbMath1329.47011arXiv1506.06283OpenAlexW643482498MaRDI QIDQ895753

Hubert Klaja

Publication date: 4 December 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06283

zbMATH Keywords

eigenvaluesspectrumrank one perturbations of diagonal operators on Hilbert spaces

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75)

Related Items (3)

Finite rank perturbations of normal operators: spectral subspaces and Borel series ⋮ Weighted join operators on directed trees ⋮ Mirror operator and its application on chaos

Cites Work

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• Invariant subspaces for certain finite-rank perturbations of diagonal operators
• One-dimensional perturbation of operators
• On S.\,Grivaux' example of a hypercyclic rank one perturbation of a unitary operator
• On rank-one perturbations of normal operators
• A hypercyclic rank one perturbation of a unitary operator
• Hyperinvariant subspaces for some compact perturbations of multiplication operators
• Rank-one perturbations of diagonal operators

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