RT Journal Article
T1 Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier
A1 López Gómez, Julián
A1 Sampedro Pascual, Juan Carlos
AB 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], χ, and the axiomatization theorem of Mora-Corral [28, 32]. The latest result facilitates the axiomatization of the parity of Fitzpatrick and Pejsachowicz [12], σ(⋅,[a,b]), which provides the key step for establishing the uniqueness of the degree for Fredholm maps.
PB Springer Nature
SN 1661-7738
YR 2022
FD 2022-12-21
LK https://hdl.handle.net/20.500.14352/71279
UL https://hdl.handle.net/20.500.14352/71279
LA eng
NO CRUE-CSIC (Acuerdos Transformativos 2021)
DS Docta Complutense
RD 8 abr 2025