On joint spectral radius of commuting operators in Hilbert spaces

DOI10.1016/j.laa.2018.08.017OpenAlexW2887238318WikidataQ129383377 ScholiaQ129383377MaRDI QIDQ1790485

Kais Feki, Hamadi Baklouti

Publication date: 2 October 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.08.017

zbMATH Keywords

joint spectral radiusnumerical radiusnormal operatorjoint approximate spectrum

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on function spaces (general) (47B38) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (16)

Some \(A\)-spectral radius inequalities for \(A\)-bounded Hilbert space operators ⋮ \(A\)-numerical radius orthogonality and parallelism of semi-Hilbertian space operators and their applications ⋮ Davis-Wielandt radius inequalities for off-diagonal operator matrices ⋮ Subdifferential set of the joint numerical radius of a tuple of matrices ⋮ A note on doubly commuting tuples of hyponormal operators on Hilbert spaces ⋮ Spectral radius of semi-Hilbertian space operators and its applications ⋮ Commuting tuples of normal operators in Hilbert spaces ⋮ Inequalities involving the generalized spherical Aluthge transform of operators ⋮ On some inequalities for numerical radius of semi-Hilbert space multioperators ⋮ On tuples of commuting operators in positive semidefinite inner product spaces ⋮ Upper bounds for the Euclidean spectral radius of operators via joint norms ⋮ Generalized numerical radius inequalities of operators in Hilbert spaces ⋮ Unnamed Item ⋮ Joint normality of operators in semi-Hilbertian spaces ⋮ Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators ⋮ Davis-Wielandt shells of semi-Hilbertian space operators and its applications

Cites Work

• Unnamed Item
• Metric properties of projections in semi-Hilbertian spaces
• Models for n-tuples of noncommuting operators
• On the numerical radius and its applications
• Boundary points of joint numerical ranges
• On geometric spectral radius of commuting \(n\)-tuples of operators
• On extreme points of the joint numerical range of commuting normal operators
• Distance between commuting tuples of normal operators
• Joint numerical ranges of operators in semi-Hilbertian spaces
• A joint spectrum for several commuting operators
• Unitary invariants in multivariable operator theory
• Spectral radius formula for commuting Hilbert space operators
• The Spectral Theorem for Normal Operators
• A Commutativity Theorem for Normal Operators

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