dc.creator | Domínguez Benavides, Tomás | es |
dc.date.accessioned | 2016-09-27T10:12:21Z | |
dc.date.available | 2016-09-27T10:12:21Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Domínguez Benavides, T. (2010). The Szlenk index and the fixed point property under renorming. Fixed Point Theory and Applications, 2010, 1-9. | |
dc.identifier.issn | 1687-1820 | es |
dc.identifier.issn | 1687-1812 | es |
dc.identifier.uri | http://hdl.handle.net/11441/45772 | |
dc.description.abstract | Assume that X is a Banach space such that its Szlenk index Sz X is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R X < 2, where R · is the García-Falset coefficient. This leads us to prove that if X is a Banach space which can be continuously embedded in a Banach space Y with Sz Y ≤ ω, then, X can be renormed to satisfy the w-FPP. This result can be applied to Banach spaces which can be embedded in C K , where K is a scattered compact topological space such that K ω ∅. Furthermore, for a Banach space X, ·, we consider a distance in the space P of all norms in X which are equivalent to · for which P becomes a Baire space. If Sz X ≤ ω, we show that for almost all norms in the sense of porosity in P, X satisfies the w-FPP. For general reflexive spaces independently of the Szlenk index, we prove another strong generic result in the sense of Baire category. | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer Open | es |
dc.relation.ispartof | Fixed Point Theory and Applications, 2010, 1-9. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The Szlenk index and the fixed point property under renorming | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | BFM2006-13997-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.publisherversion | http://doi.org/10.1155/2010/268270 | es |
dc.identifier.doi | 10.1155/2010/268270 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 9 p. | es |
dc.journaltitle | Fixed Point Theory and Applications | es |
dc.publication.volumen | 2010 | es |
dc.publication.initialPage | 1 | es |
dc.publication.endPage | 9 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/45772 | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |
dc.contributor.funder | Junta de Andalucía | |