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Algebraic multiplicity and topological degree for Fredholm operators

dc.contributor.authorLópez Gómez, Julián
dc.contributor.authorSampedro Pascual, Juan Carlos
dc.date.accessioned2023-06-17T08:56:21Z
dc.date.available2023-06-17T08:56:21Z
dc.date.issued2020
dc.descriptionArtículo dedicado a Shair Ahmad para conmemorar su 85 aniversario.
dc.description.abstractThis 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.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipGobierno del País Vasco
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/63341
dc.identifier.doi10.1016/j.na.2020.112019
dc.identifier.issn0362-546X
dc.identifier.officialurlhttps://doi.org/10.1016/j.na.2020.112019
dc.identifier.relatedurlhttps://www.sciencedirect.com/science/article/abs/pii/S0362546X20302315#!
dc.identifier.urihttps://hdl.handle.net/20.500.14352/7596
dc.journal.titleNonlinear analysis
dc.language.isoeng
dc.page.initial112019
dc.publisherElsevier
dc.relation.projectIDPGC2018-097104-B-100
dc.relation.projectIDPRE2019_1_0220
dc.rights.accessRightsopen access
dc.subject.cdu51
dc.subject.keywordSchauder formula
dc.subject.keywordFredholm paths
dc.subject.keywordLeray–Schauder degree
dc.subject.keywordDegree of Fitzpatrick Pejsachowicz and Rabier
dc.subject.keywordGeneralized algebraic multiplicity
dc.subject.keywordFórmula de Shauder
dc.subject.keywordGrado de Leray-Schauder
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmÁlgebra
dc.subject.unesco12 Matemáticas
dc.subject.unesco1201 Álgebra
dc.titleAlgebraic multiplicity and topological degree for Fredholm operators
dc.typejournal article
dc.volume.number201
dspace.entity.typePublication
relation.isAuthorOfPublication27effbc8-f76e-4c18-8514-82cf8fe8ccbf
relation.isAuthorOfPublication5110d385-d47f-4760-a4df-4efc25bdf631
relation.isAuthorOfPublication.latestForDiscovery27effbc8-f76e-4c18-8514-82cf8fe8ccbf

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