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Artículo
Compact mappings and proper mappings between Banach spaces that share a value
(Bulgarian Academy of Sciences, 2000)
Sufficient conditions are given to assert that differentiable compact mappings and differentiable proper mappings between Banach spaces share a value. The conditions involve Fredholm operators. The proof of the result is ...
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.