A Henrici Theorem for Joint Spectra of Commuting Matrices

DOI10.2307/2160002zbMath0790.15015OpenAlexW4255826182MaRDI QIDQ4277315

Tirthankar Bhattacharyya, Rajendra Bhatia

Publication date: 20 June 1994

Full work available at URL: https://doi.org/10.2307/2160002

zbMATH Keywords

eigenvaluesClifford algebrasjoint spectracommuting tuples of matricesperturbation theoremHenrici theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Clifford algebras, spinors (15A66)

Related Items (3)

Perturbation theorems for the joint spectrum of commuting matrices: A conservative approach ⋮ Perturbation bounds for the joint spectrum of commuting matrices ⋮ An extension of Henrici theorem for the joint approximate spectrum of commuting spectral operators

Cites Work

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• Norms and exclusion theorems
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• On the variation of the spectra of matrices
• Perturbation of spectral subspaces and solution of linear operator equations
• Variation of Grassmann powers and spectra
• Garske's inequality for an \(n\)-tuple of operators
• A Bauer-Fike theorem for the joint spectrum of commuting matrices
• Matrix Analysis
• Comparison of joint spectra for certain classes of commuting operators

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