The spectrum is continuous on the set of quasi-\(n\)-hyponormal operators

DOI10.1016/J.JMAA.2006.10.073zbMath1121.47014OpenAlexW2005937394MaRDI QIDQ2642112

Woo Young Lee, In Hyoun Kim

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.073

zbMATH Keywords

spectrumquasi-\(n\)-hyponormality

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (3)

Positive answer to the invariant and hyperinvariant subspaces problems for hyponormal operators ⋮ Continuity of the spectrum on a class of upper triangular operator matrices ⋮ Hyperinvariant subspace problem for some classes of operators

Cites Work

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• Operators that are points of spectral continuity
• The spectrum is discontinuous on the manifold of Toeplitz operators
• The spectrum is continuous on the set of \(p\)-hyponormal operators
• Weyl's theorem for nonnormal operators
• The variation of spectra
• Normal operators of finite multiplicity
• Weyl spectra of operator matrices
• Invertible completions of $2\times 2$ upper triangular operator matrices
• Hyponormality and spectra of Toeplitz operators
• The Unitary Equivalence of Binormal Operators

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