On invariant subspaces of subdecomposable operators

DOI10.36045/j.bbms.190505OpenAlexW3118117760MaRDI QIDQ2233213

Songxiao Li, Jun-Feng Liu

Publication date: 15 October 2021

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03390

zbMATH Keywords

invariant subspacespectral theoryBanach spacesubdecomposable operatorHardy space \(H^{\infty}(G)\)

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Cites Work

• Invariant subspaces for sequentially subdecomposable operators
• Some invariant subspaces for subnormal operators
• Hyponormal operators with thick spectra have invariant subspaces
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• Scott Brown's techniques for perturbations of decomposable operators
• Richness of invariant subspace lattices for a class of operators
• Invariant subspaces of completely continuous operators
• Bishop's condition (ß) and joint invariant subspaces.
• Operators with rich invariant subspace lattices.
• An Introduction to Banach Space Theory
• Unnamed Item

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