An extension of Henrici theorem for the joint approximate spectrum of commuting spectral operators

DOI10.1017/S1446788700003748zbMath1060.47007MaRDI QIDQ4458283

Ali Ben Amor

Publication date: 17 March 2004

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

zbMATH Keywords

joint spectrumspectral operatorcomplex Hilbert spaceHenrici boundtuples of commuting operators

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13)

Related Items (1)

On \((m, C)\)-isometric commuting tuples of operators on a Hilbert space

Cites Work

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• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Garske's inequality for an \(n\)-tuple of operators
• A Bauer-Fike theorem for the joint spectrum of commuting matrices
• A generalization of the Hoffman-Wielandt theorem
• Joint spectra and interpolation of operators
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Joint Spectra and Analytic Set-Valued Functions
• A Henrici Theorem for Joint Spectra of Commuting Matrices
• The spectral mapping theorem for joint approximate point spectrum
• The Joint Spectrum of Commuting Nonnormal Operators
• The spectral mapping theorem in several variables

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