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Zero Sums of Idempotents and Banach Algebras Failing to be Spectrally Regular

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Publication:2873338
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DOI10.1007/978-3-0348-0639-8_7zbMath1291.46048OpenAlexW30058014MaRDI QIDQ2873338

Torsten Ehrhardt, Harm Bart, Bernd Silbermann

Publication date: 24 January 2014

Published in: Advances in Structured Operator Theory and Related Areas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0639-8_7

zbMATH Keywords

idempotentsCuntz algebraspectral regularity


Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Topological algebras, normed rings and algebras, Banach algebras (46H99) Linear operators in (C^*)- or von Neumann algebras (47C15)


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Sums of idempotents and logarithmic residues in zero pattern matrix algebras, Banach algebras of quasi-triangular operators are spectrally regular, Logarithmic residues, Rouché's theorem, and spectral regularity: The \(C^{\ast}\)-algebra case, Approximately finite-dimensional Banach algebras are spectrally regular, How small can a sum of idempotents be?, Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces



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