Banach algebras of quasi-triangular operators are spectrally regular

DOI10.1016/j.laa.2012.08.009zbMath1297.47022OpenAlexW1995914916MaRDI QIDQ2637172

Torsten Ehrhardt, Bernd Silbermann

Publication date: 19 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.009

zbMATH Keywords

logarithmic residuequasi-triangular operator

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66) Other generalizations of analytic functions (including abstract-valued functions) (30G30)

Related Items (1)

Approximately finite-dimensional Banach algebras are spectrally regular

Cites Work

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• Classes of linear operators. Vol. I
• Logarithmic residues in Banach algebras
• Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras
• Spectral properties of locally holomorphic vector-valued functions
• Zero Sums of Idempotents and Banach Algebras Failing to be Spectrally Regular
• Spectral Regularity of Banach Algebras and Non-commutative Gelfand Theory
• Logarithmic residues in the Banach algebra generated by the compact operators and the identity
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ

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