Trace conditions for regular spectral behavior of vector-valued analytic functions

DOI10.1016/j.laa.2008.11.004zbMath1188.47014OpenAlexW2001214681MaRDI QIDQ1014460

Harm Bart, Bernd Silbermann, Torsten Ehrhardt

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.004

zbMATH Keywords

idempotentlogarithmic residueanalytic vector-valued functionannihilating family of idempotentselementary factorinteger combination of idempotentsplain functionresolving family of traces

Mathematics Subject Classification ID

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

Related Items

Sums of idempotents and logarithmic residues in zero pattern matrix algebras, Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory, On the spectrum of Banach algebra-valued entire functions, Logarithmic residues, Rouché's theorem, and spectral regularity: The \(C^{\ast}\)-algebra case, Approximately finite-dimensional Banach algebras are spectrally regular, Trace conditions for regular spectral behavior of vector-valued analytic functions

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