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The product formula

  • Autores: Genaro López Acedo Árbol académico
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 2, 1991, págs. 157-162
  • Idioma: inglés
  • Títulos paralelos:
    • La fórmula del producto
  • Enlaces
  • Resumen
    • A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor is of the Identity+Compact type and the other is an A-compact mapping.

  • Referencias bibliográficas
    • F. E. Browder and W. V. Petryshyn, The topological degree and Galerkin approximation for noncompact operators in Banach spaces, Bull. Amer....
    • K. Deimling, Nonlinear Functional Analysis, Springer-Verlag, Berlin, Heidelberg, New-York, 1984.
    • G. López, On the topological degree for A-compact mappings, J. Math. Anal. Appl. 159, 2 (1991), 382–388.
    • N.G. Lloyd, Degree Theory, Cambridge University Press, London, 1974.
    • S. Ship-Fah Wong, A product Formula for the degree for A-proper Maps, J. Functional Analysis 10 (1972), 361–372.

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