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A Fredholm mapping of index zero

Jose M. Soriano Arbizu
대한수학회 (The Korean Mathematical Society)|2008.03|대한수학회지 (Journal of the KMS)|제45권 제2호|pp. 527-535

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참고문헌

키워드

zero pointregular valuecontinuation methodscontinuous dependence theoremC1-homotopyproper mappingcompact mappingFredholm mappingisomorphism.
주제분류수학

초록

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.

Abstract

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.

참고문헌 (27)

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  22. J. M. Soriano, "Fredholm and compact mappings sharing a value", Chinese translation in Applied Mathematics and Mechanics, 22(6), pp.609~612 (2001)
  23. J. M. Soriano, "A zero of a proper mapping", Fixed Point Theory, 4(1), pp.97~104 (2003)
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