Abstract
Let T-λ S, λ ∈ Ω be a family of not necessarily bounded semi-Fredholm operators, where T and S are operators acting between Banach spaces X and Y, and where S is bounded with D(S) ⊒D(T). For compact sets Ω, as well as for certain open sets Ω, we investigate existence and minimal rank of bounded feedback perturbations of the form F=BE such that min.ind (T-λS+F)=0 for all λ ∈ Ω. Here B is a given operator from a linear space Z to Y and E is some operator from X to Z.
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