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A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

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  • Pierluigi Benevieri
  • Massimo Furi

Abstract

We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces ( quasi-Fredholm maps , for short). The construction is based on the Brouwer degree theory and on the notion of orientation for nonlinear Fredholm maps given by the authors in some previous papers. The theory includes in a natural way the celebrated Leray-Schauder degree.

Suggested Citation

  • Pierluigi Benevieri & Massimo Furi, 2006. "A degree theory for locally compact perturbations of Fredholm maps in Banach spaces," Abstract and Applied Analysis, Hindawi, vol. 2006, pages 1-20, February.
    • Handle: RePEc:hin:jnlaaa:064764
    DOI: 10.1155/AAA/2006/64764
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