On two subsets of a Banach algebra that are related to the continuity of spectrum and spectral radius

DOI10.1016/0024-3795(86)90318-6zbMath0612.46046OpenAlexW2085324853MaRDI QIDQ1088127

Laura Burlando

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90318-6

zbMATH Keywords

spectral radius continuityspectral radius functionspectrum continuity

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of topological algebras (46H05)

Related Items (2)

On the problem of invariance under holomorphic functions for a set of continuity points of the spectrum function ⋮ Continuity of spectrum and spectral radius in algebras of operators

Cites Work

• An elementary proof of a fundamental theorem in the theory of Banach algebras
• Diagonalizzazione periferica finita ed operatori perifericamente compatti. (Finite peripheral diagonalization and peripheral compact operators.)
• The variation of spectra
• Continuity of the Spectrum and Spectral Radius
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