Spectral decomposability of rank-one perturbations of normal operators

DOI10.1016/j.jmaa.2010.09.037zbMath1203.47012OpenAlexW1992040359MaRDI QIDQ615928

Eungil Ko, Ciprian Foias, Il Bong Jung, Carl Pearcy

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.037

zbMATH Keywords

invariant subspacenormal operatorhyperinvariant subspacedecomposable operatorrank-one perturbation

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15)

Related Items (9)

Finite rank perturbations of normal operators: spectral subspaces and Borel series ⋮ Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ Hyponormality of finite rank perturbations of normal operators ⋮ Halmos problems and related results in the theory of invariant subspaces ⋮ Finite rank perturbations of normal operators: spectral idempotents and decomposability ⋮ Reducing subspaces for rank-one perturbations of normal operators ⋮ Weighted join operators on directed trees ⋮ Invariant subspaces for certain finite-rank perturbations of diagonal operators ⋮ Resolvent algebra of finite rank operators

Cites Work

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• One-dimensional perturbation of operators
• On rank-one perturbations of normal operators
• On rank-one perturbations of normal operators, II
• DT-operators and decomposability of Voiculescu's circular operator
• On the perturbation of spectra
• Rank-one perturbations of diagonal operators

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