A perturbation result for q-open quotient morphisms in normed spaces and applications to linear relations |
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Authors: | Dana Gheorghe |
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Affiliation: | University of Pite?ti, Department of Mathematics, Str. Targul din Vale, Nr. 1, 110040 Pite?ti, Romania |
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Abstract: | Using some techniques of perturbation theory for quotient morphisms between Banach spaces we obtain necessary and sufficient conditions for the stability of the topological index of a q-open quotient morphism under small (with respect to the gap topology) perturbations with quotient morphisms. As an application we obtain necessary and sufficient conditions for the stability of the topological index of an open linear relation with closed multivalued part between normed spaces under small perturbations with linear relations. |
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Keywords: | Quotient morphism Topological index Linear relation |
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