Estimates for the spectrum near algebraic elements

DOI10.1016/S0024-3795(00)00037-9zbMath0958.15013OpenAlexW2066236747MaRDI QIDQ1977380

Abdelkrim Nokrane, Yin Chen, Thomas Ransford

Publication date: 7 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00037-9

zbMATH Keywords

Banach algebraeigenvaluesspectrumHausdorff distancealgebraic element

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10)

Related Items (3)

Green functions of the spectral ball and symmetrized polydisk ⋮ Explicit upper bounds for the spectral distance of two trace class operators ⋮ Counterexample to a conjecture of Elsner on the spectral variation of matrices

Cites Work

• Unnamed Item
• Mathematische Miszellen XXVII. Über die Stetigkeit von charakteristischen Wurzeln in Abhängigkeit von den Matrizenelementen
• Local behavior of the spectrum near algebraic elements
• An optimal bound for the spectral variation of two matrices
• A primer on spectral theory
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Spectral Characterization of Algebraic Elements
• Variation of tensor powers and spectrat

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