We prove an odd mapping theorem of Borsuk type for locally compact perturbations of Fredholm maps of index zero between Banach spaces. We extend this result to a more general class of perturbations of Fredholm maps, defined in terms of measure of noncompactness.
A Borsuk-type theorem for some classes of perturbed Fredholm maps / Pierluigi, Benevieri; Alessandro, Calamai. - In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. - ISSN 1230-3429. - STAMPA. - 35, n. 2:(2010), pp. 379-394.
A Borsuk-type theorem for some classes of perturbed Fredholm maps
BENEVIERI, PIERLUIGI;
2010
Abstract
We prove an odd mapping theorem of Borsuk type for locally compact perturbations of Fredholm maps of index zero between Banach spaces. We extend this result to a more general class of perturbations of Fredholm maps, defined in terms of measure of noncompactness.
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