Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity

DOI10.1007/BF03031428zbMath1150.47012OpenAlexW1978482102MaRDI QIDQ997539

Bhaggy Duggal

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03031428

zbMATH Keywords

Hilbert spacecontinuity of the spectrumclasses of operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Local spectral properties of linear operators (47A11)

Cites Work

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• Operators that are points of spectral continuity. II
• The spectrum is continuous on the set of \(p\)-hyponormal operators
• Isolated points of spectrum of (\(p,k\))-quasihyponormal operators
• A note on *-paranormal operators
• \(p\)-hyponormal operators and quasisimilarity
• Kato type operators and Weyl's theorem
• Riesz projections for a class of Hilbert space operators
• Weyl's theorem for perturbations of paranormal operators
• An Operator Inequality Which Implies Paranormality
• Browder's theorems and spectral continuity
• Weyl's theorems and continuity of spectra in the class of p-hyponormal operators
• Noncontinuity of spectrum for the adjoint of an operator
• A note on spectral continuity and on spectral properties of essentially \(G_1\) operators

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