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Semi-Fredholm operators and perturbations. (English) Zbl 0889.47003

The main result in this paper is a general perturbation theorem for semi-Fredholm operators. Then as corollaries the author gets some well known results. Especially valuable are the many examples and their applications in the perturbation theory of semi-Fredholm (Fredholm) operators. This paper will be helpful to everyone working in the theory of semi-Fredholm operators.

MSC:

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