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Artículo
Fredholm mappings and Banach manifolds
(Korean Mathematical Society, 2009)
Two C1-mappings, whose domain is a connected compact C1-Banach manifold modelled over a Banach space X over K = R or C and whose range is a Banach space Y over K, are introduced. Sufficient conditions are given to assert ...
Artículo
A Fredholm mapping of index zero
(Korean Mathematical Society, 2008)
Sufficient conditions are given to assert that between any two Banach spaces over K Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.