On Taylor and other joint spectra for commuting \(n\)-tuples of operators

DOI10.1016/j.jmaa.2006.03.008zbMath1103.47005OpenAlexW2036568468MaRDI QIDQ860966

El Hassan Zerouali, Chafiq Benhida

Publication date: 9 January 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.2006.03.008

zbMATH Keywords

joint spectraTaylor spectrum\(n\)-tuplesAluthge transforms

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Spectrum, resolvent (47A10)

Related Items (8)

The spectral picture and joint spectral radius of the generalized spherical Aluthge transform ⋮ Spherical mean transform of operator pairs ⋮ Multicentric holomorphic calculus for \(n\)-tuples of commuting operators ⋮ Stability for the ``essentially Kato property for commuting tuples of bounded operators ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Spectral properties of commuting operations for 𝑛-tuples ⋮ Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators ⋮ A note on the common spectral properties for bounded linear operators

Cites Work

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• On pairs of commuting operators
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• On joint essential spectra of doubly commuting n-tuples of p-hyponormal operators
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• Taylor spectral invariance for crisscross commuting pairs on Banach spaces
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• Spectral theory of linear operators and spectral systems in Banach algebras
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