A Bauer-Fike theorem for the joint spectrum of commuting matrices

DOI10.1016/0024-3795(92)90430-IzbMath0759.15006MaRDI QIDQ1194293

Alan J. Pryde

Publication date: 27 September 1992

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

zbMATH Keywords

Clifford algebracommuting matricesjoint spectrumBauer-Fike theoremClifford operatorjoint eigenvaluesemisimple partition

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Clifford algebras, spinors (15A66)

Related Items

Perturbation theorems for the joint spectrum of commuting matrices: A conservative approach, Perturbation bounds for the joint spectrum of commuting matrices, A Henrici Theorem for Joint Spectra of Commuting Matrices, An extension of Henrici theorem for the joint approximate spectrum of commuting spectral operators

Cites Work

• Norms and exclusion theorems
• The analytic-functional calculus for several commuting operators
• Comparison of joint spectra for certain classes of commuting operators
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