Geodesic
Extremal perturbations of semi-Fredholm operators
Studia Mathematica, Tome 129 (1998) no. 3, pp. 253-264
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Let T be a bounded operator on an infinite-dimensional Banach space X and Ω a compact subset of the semi-Fredholm domain of T. We construct a finite rank perturbation F such that min[dim N(T+F-λ), codim R(T+F-λ)] = 0 for all λ ∈ Ω, and which is extremal in the sense that F² = 0 and rank F = max{min[dim N(T-λ), codim R(T-λ)] : λ ∈ Ω. 
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     author = {Thorsten Kr\"oncke},
     title = {Extremal perturbations of {semi-Fredholm} operators},
     journal = {Studia Mathematica},
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     doi = {10.4064/sm-129-3-253-264},
     language = {en},
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Thorsten Kröncke. Extremal perturbations of semi-Fredholm operators. Studia Mathematica, Tome 129 (1998) no. 3, pp. 253-264. doi: 10.4064/sm-129-3-253-264

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