Spectrum of the Products of Operators and Compact Perturbations

DOI10.2307/2160467zbMath0842.47003OpenAlexW4246554650MaRDI QIDQ4290798

Weibang Gong, De Guang Han

Publication date: 28 July 1996

Full work available at URL: https://doi.org/10.2307/2160467

zbMATH Keywords

spectral conditionspectral characterization of the product of finitely many normal (resp. essentially normal) operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (7)

Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras ⋮ Consistency in invertibility and Fredholmness of operator matrices ⋮ Generalized Kato type operators and property \((\omega)\) under perturbations ⋮ Consistent invertibility of upper triangular operator matrices ⋮ Consistent invertibility and Weyl's theorem ⋮ A NOTE ON OPERATORS CONSISTENT IN INVERTIBILITY ⋮ Products of two normal operators

Cites Work

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• The product of operators with closed range
• Spectrum of the Product of Operators
• Products of Normal Operators

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