On quasinilpotent operators

DOI10.1090/S0002-9939-03-06895-3zbMath1060.47008MaRDI QIDQ4804060

Il Bong Jung, Eungil Ko, Carl Pearcy

Publication date: 10 April 2003

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

zbMATH Keywords

invariant subspaceextremal vectorsEnflo technique

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15)

Related Items (7)

Halmos problems and related results in the theory of invariant subspaces ⋮ Invariant subspaces of positive quasinilpotent operators on ordered Banach spaces ⋮ On quasinilpotent Operators, II ⋮ Hyperinvariant subspaces for quasinilpotent operators on Hilbert spaces ⋮ Power set and invariant subspaces of cyclic quasinilpotent operators ⋮ On quasinilpotent operators and the invariant subspace problem ⋮ Hyperinvariant subspaces for some subnormal operators

Cites Work

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• Hyponormal operators with thick spectra have invariant subspaces
• An extension of Burnside's theorem to infinite-dimensional spaces
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• Invariant subspaces of polynomially compact operators
• An invariant-subspace theorem
• Invariant subspaces of completely continuous operators
• On Real Invariant Subspaces of Bounded Operators with Compact Imaginary Part
• Extremal vectors and invariant subspaces
• An Extension of Lomonosov’s Techniques to Non-compact Operators
• On Invariant Subspaces of Quasitriangular Operators
• A note on invariant subspaces

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