Spectral properties of commuting operations for 𝑛-tuples

DOI10.1090/S0002-9939-2011-10875-XzbMath1233.47018MaRDI QIDQ3104454

Chafiq Benhida, El Hassan Zerouali

Publication date: 13 December 2011

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

zbMATH Keywords

joint spectraTaylor spectrumSVEP\(n\)-tuplesBishop's property \((\beta)\)

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20)

Related Items

The spectral picture and joint spectral radius of the generalized spherical Aluthge transform ⋮ Spherical mean transform of operator pairs ⋮ Stability for the ``essentially Kato property for commuting tuples of bounded operators ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Joint spectra of spherical Aluthge transforms of commuting \(n\)-tuples of Hilbert space operators

Cites Work

• On Taylor and other joint spectra for commuting \(n\)-tuples of operators
• Local properties of Taylor's analytic functional calculus
• The single valued extension property on a Banach space
• Local spectral theory of linear operators RS and SR
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• On pairs of commuting operators
• Analytical Functional Models and Local Spectral Theory
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Taylor spectral invariance for crisscross commuting pairs on Banach spaces
• \(n\)-tuples of operators satisfying \(\sigma_T(AB)=\sigma_T(BA)\).
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