Generalized spectrum and commuting compact perturbations

DOI10.1017/S0013091500018332zbMath0794.47003MaRDI QIDQ4289414

Vladimir Rakočevič

Publication date: 29 August 1994

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

zbMATH Keywords

null spacerange spacegeneralized regular spectruminfinite-dimensional complex Banach space

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53)

Related Items (11)

On the topological boundary of the one-sided spectrum ⋮ Essentially regular operators in Banach spaces ⋮ Spectral analysis of perturbed Fredholm operators ⋮ Samuel multiplicity and the structure of essentially semi-regular operators: a note on a paper of Fang ⋮ On the analysis of some perturbed Browder's operators ⋮ Pseudo B-Fredholm linear relations and spectral theory ⋮ Quasi-nilpotent perturbations of the generalized Kato spectrum ⋮ The distance from the Apostol spectrum ⋮ SMALL ESSENTIAL SPECTRAL RADIUS PERTURBATIONS OF OPERATORS WITH TOPOLOGICAL UNIFORM DESCENT ⋮ Some spectral mapping theorems through local spectral theory ⋮ Unnamed Item

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Null spaces and ranges of polynomials of operators
• The reduced minimum modulus and the spectrum
• Les opérateurs quasi Fredholm: Une généralisation des opérateurs semi Fredholm
• The reduced minimum modulus
• Ascent, descent, nullity and defect, a note on a paper by A.E. Taylor
• Spectral analysis using ascent, descent, nullity and defect
• Continuity of the generalized kernel and range of semi-Fredholm operators
• The Asymptotic Behavior of the Reduced Minimum Modulus of a Fredholm Operator

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