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Algebraic multiplicity and topological degree for Fredholm operators

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López Gómez, Julián and Sampedro Pascual, Juan Carlos (2020) Algebraic multiplicity and topological degree for Fredholm operators. Nonlinear analysis, 201 . p. 112019. ISSN 0362-546X

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Official URL: https://doi.org/10.1016/j.na.2020.112019




Abstract

This paper tries to establish a link between topological and algebraic methods in nonlinear analysis showing how the topological degree for Fredholm operators of index zero of Fitzpatrick, Pejsachowicz and Rabier [11] can be determined from the generalized algebraic multiplicity of Esquinas and López-Gómez [8], [7], [22], in the same vein as the Leray–Schauder degree can be calculated from the Schauder formula through the classical algebraic multiplicity.


Item Type:Article
Additional Information:

Artículo dedicado a Shair Ahmad para conmemorar su 85 aniversario.

Uncontrolled Keywords:Schauder formula; Fredholm paths; Leray–Schauder degree;Degree of Fitzpatrick Pejsachowicz and Rabier; Generalized algebraic multiplicity
Palabras clave (otros idiomas):Fórmula de Shauder; Grado de Leray-Schauder
Subjects:Sciences > Mathematics
Sciences > Mathematics > Algebra
ID Code:63341
Deposited On:09 Dec 2020 16:08
Last Modified:10 Dec 2020 11:32

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