dc.creator | Swanepoel, Konrad J. | es |
dc.creator | Villa Caro, Rafael | es |
dc.date.accessioned | 2016-06-03T10:35:42Z | |
dc.date.available | 2016-06-03T10:35:42Z | |
dc.date.issued | 2008 | |
dc.identifier.citation | Swanepoel, K.J. y Villa Caro, R. (2008). A lower bound for the equilateral number of normed spaces. Proceedings of the American Mathematical Society, 136 (1), 127-131. | |
dc.identifier.issn | 0002-9939 | es |
dc.identifier.issn | 1088-6826 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41853 | |
dc.description.abstract | We show that if the Banach-Mazur distance between an n-dimensional normed space X and ℓ n∞ is at most 3/2, then there exist n + 1 equidistant points in X. By a well-known result of Alon and Milman, this implies that an arbitrary n-dimensional normed space admits at least e c √ log n equidistant points, where c > 0 is an absolute constant. We also show that there exist n equidistant points in spaces sufficiently close to ℓ n p , 1 < p < ∞. | es |
dc.description.sponsorship | South African National Research Foundation | es |
dc.description.sponsorship | Dirección General de Enseñanza Superior | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Proceedings of the American Mathematical Society, 136 (1), 127-131. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | A lower bound for the equilateral number of normed spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | 2053752 | es |
dc.relation.projectID | BFM2003-01297 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1090/S0002-9939-07-08916-2 | |
dc.identifier.doi | 10.1090/S0002-9939-07-08916-2 | |
idus.format.extent | 5 p. | es |
dc.journaltitle | Proceedings of the American Mathematical Society | es |
dc.publication.volumen | 136 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 127 | es |
dc.publication.endPage | 131 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41853 | |
dc.contributor.funder | South African National Research Foundation | |
dc.contributor.funder | Dirección General de Enseñanza Superior. España | |