Logarithmic residues, Rouché's theorem, and spectral regularity: The \(C^{\ast}\)-algebra case

DOI10.1016/j.indag.2012.08.001zbMath1279.47028OpenAlexW1969192496MaRDI QIDQ692581

Bernd Silbermann, Harm Bart, Torsten Ehrhardt

Publication date: 6 December 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.08.001

zbMATH Keywords

Rouché's theoremlogarithmic residueCalkin algebra\(C^{\ast }\)-Fredholm theoryabstract analytic Fredholm valued functionFredholm elementsspectral regularity

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (5)

Sums of idempotents and logarithmic residues in zero pattern matrix algebras ⋮ Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory ⋮ Approximately finite-dimensional Banach algebras are spectrally regular ⋮ Rank decomposition under zero pattern constraints and \(\mathsf{L}\)-free directed graphs ⋮ How small can a sum of idempotents be?

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