Finite rank perturbations of normal operators: hyperinvariant subspaces and a problem of Pearcy

DOI10.1512/iumj.2024.73.9942MaRDI QIDQ6631929

Eva A. Gallardo-Gutiérrez, F. Javier González-Doña

Publication date: 3 November 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

zbMATH Keywords

invariant subspaceperturbation of normal operators

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)

Cites Work

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• Spectral decomposability of rank-one perturbations of normal operators
• Finite rank perturbations of normal operators: spectral subspaces and Borel series
• On rank-one perturbations of normal operators
• Invariant subspaces of some non-selfadjoint operators
• Every operator has almost-invariant subspaces
• On rank-one perturbations of normal operators, II
• On Real Invariant Subspaces of Bounded Operators with Compact Imaginary Part
• On Decomposability of Compact Perturbations of Normal Operators
• On Decomposability of Compact Perturbations of Operators
• Hyperinvariant subspaces for compact perturbations of operators whose spectrum has a Dini-smooth exposed arc
• Rank-one perturbations of diagonal operators

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