Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

DOI10.1007/978-3-0348-0221-5_5zbMath1268.30040OpenAlexW197153024MaRDI QIDQ2915190

Torsten Ehrhardt, Harm Bart, Bernd Silbermann

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_5

zbMATH Keywords

logarithmic residueanalytic vector-valued functionspectrally regular Banach algebra

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (5)

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?

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