@article{10902/37987,
year = {2021},
url = {https://hdl.handle.net/10902/37987},
abstract = {In this paper, we prove an analogue of the uniqueness theorems of Führer [15] and Amann and Weiss [1] to cover the degree of Fredholm operators of index zero constructed by Fitzpatrick, Pejsachowicz and Rabier [13], whose range of applicability is substantially wider than for the most classical degrees of Brouwer [5] and Leray-Schauder [22]. A crucial step towards the axiomatization of this degree is provided by the generalized algebraic multiplicity of Esquinas and López-Gómez [8, 9, 25], X, and the axiomatization theorem of Mora-Corral [28, 32]. The latest result facilitates the axiomatization of the parity of Fitzpatrick and Pejsachowicz [12], o(· , [a, b]) , which provides the key step for establishing the uniqueness of the degree for Fredholm maps.},
organization = {Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.},
publisher = {Springer},
publisher = {Journal of Fixed Point Theory and Applications, 2022, 24(1), 8},
title = {Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier},
author = {López-Gómez, Julián and Sampedro Pascual, Juan Carlos},
}