Invariant subspaces for bounded operators with large localizable spectrum

DOI10.1090/S0002-9939-01-05971-8zbMath0974.47005OpenAlexW1565113258MaRDI QIDQ2719011

Bebe Prunaru

Publication date: 14 May 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05971-8

zbMATH Keywords

invariant subspaceslocal spectral theorysubdecomposable operatorquasiaffine transform

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Dual algebras; weakly closed singly generated operator algebras (47L45) Invariant subspaces of linear operators (47A15) Local spectral properties of linear operators (47A11)

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Cites Work

• 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
• Analytical Functional Models and Local Spectral Theory
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