On continuity of the spectral radius function in Banach algebras

DOI10.1007/BF01766987zbMath0726.46027MaRDI QIDQ803882

Laura Burlando

Publication date: 1990

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

continuity of the spectral radius function

Mathematics Subject Classification ID

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

Related Items

Spectral continuity in some Banach algebras

Cites Work

• Advances in the theory of unitary rank and regular approximation
• Operators that are points of spectral continuity
• Propriétés spectrales des algèbres de Banach
• Unitary approximation
• The variation of spectra
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Index theory in von Neumann algebras
• Continuity of the Spectrum and Spectral Radius
• Continuity of spectrum and spectral radius in algebras of operators
• Components of Invertible Elements in Quotient Algebras of Operators
• The two-sided closed ideals of the algebra of bounded linear operators of a Hilbert space
• The Closure of the Regular Operators in a Ring of Operators
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