\(k\)-spectral sets and invariant subspaces

DOI10.1007/BF01306549zbMath0865.47004OpenAlexW1991752573MaRDI QIDQ2564001

Bebe Prunaru

Publication date: 13 July 1997

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01306549

zbMATH Keywords

spectruminvariant subspaceBanach space operator\(k\)-spectral set

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spectral sets of linear operators (47A25)

Related Items (1)

Invariant subspaces for polynomially bounded operators

Cites Work

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• Some invariant subspaces for subnormal operators
• Hyponormal operators with thick spectra have invariant subspaces
• An invariant subspace theorem
• Invariant subspaces for operators with Bishop's property \((\beta{})\) and thick spectrum
• Representations of \(H^ \infty(G)\) and invariant subspaces
• Pointwise bounded approximation and Dirichlet algebras
• Normal parts of certain operators
• Bishop's condition (ß) and joint invariant subspaces.
• Operators with rich invariant subspace lattices.

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