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Zbl 0939.47010
Berkani, M.
On a class of quasi-Fredholm operators. (English)
[J] Integral Equations Oper. Theory 34, No.2, 244-249 (1999). ISSN 0378-620X; ISSN 1420-8989/e

Summary: We study a class of bounded linear operators acting on a Banach space $X$ called B-Fredholm operators. Among other things we characterize a B-Fredholm operator as the direct sum of a nilpotent operator and a Fredholm operator and we prove a spectral mapping theorem for B-Fredholm operators.

MSC 2000:: *47A53 (Semi-)Fredholm operators; index theories
47A55 Perturbation theory of linear operators
47A10 Spectrum and resolvent of linear operators

Keywords: B-Fredholm operators; direct sum of a nilpotent operator and a Fredholm operator; spectral mapping theorem

Cited in: Zbl 1138.47007 Zbl 1089.47005 Zbl 1050.47014

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