On extremal perturbations of semi-Fredholm operators |
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| Authors: | K -H Förster M Krause |
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| Institution: | (1) Fachbereich Mathematik, MA 6-4, Technische Universität, Strasse des 17. Juni 135, D-10623 Berlin, Germany |
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| Abstract: | Given a bounded linear operatorA in an infinite dimensional Banach space and a compact subset  of a connected component of its semi-Fredholm domain, we construct a finite rank operatorF such that  –A+F is bounded below (or surjective) for each  ,F
2=0 and rankF=max min{dimN(–A), codimR(–A)}, if ind(–A) 0 (or ind(–A) 0, respectively) for each . |
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| Keywords: | 47A53 47A55 |
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