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http://dx.doi.org/10.4134/JKMS.2008.45.2.527

A FREDHOLM MAPPING OF INDEX ZERO  

Arbizu, Jose M. Soriano (DEPARTMENTO DE ANALISIS METEMATICO FACULTAD DE MATEMATICAS UNIVERSIDAD DE SEVILLA)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.2, 2008 , pp. 527-535 More about this Journal
Abstract
Sufficient conditions are given to assert that between any two Banach spaces over $\mathbb{K}$ Fredholm mappings share exactly N values in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
Keywords
zero point; continuation methods; continuous dependence theorem$C^1$-homotopy; proper mapping; compact mapping; regular value; Fredholm mapping; isomorphism;
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