On the poles of the resolvent in Calkin algebra

DOI10.1090/S0002-9939-07-08733-3zbMath1132.47003MaRDI QIDQ3432785

O. Bel Hadj Fredj

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

polesCalkin algebraessential ascentessential descent

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Linear operators in algebras (47C05)

Related Items

Left and right-Drazin inverses in rings and operator algebras, Drazin invertibility relative to some subsets of quasinilpotents and homomorphism ranges, Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the calkin algebra

Cites Work

• Uniform ascent and descent of bounded operators
• The reduced minimum modulus
• Spectral analysis using ascent, descent, nullity and defect
• Ascent spectrum and essential ascent spectrum
• A Structure Theorem for Polynomially Compact Operators
• Spectral theory of linear operators and spectral systems in Banach algebras
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