Concentration of the distance in finite dimensional normed spaces

Arias de Reyna Martínez, Juan; Ball, Keith; Villa Caro, Rafael

doi:10.1112/S0025579300014182

Artículo

dc.creator	Arias de Reyna Martínez, Juan	es
dc.creator	Ball, Keith	es
dc.creator	Villa Caro, Rafael	es
dc.date.accessioned	2016-12-01T10:37:56Z
dc.date.available	2016-12-01T10:37:56Z
dc.date.issued	1998-12
dc.identifier.citation	Arias de Reyna Martínez, J., Ball, K. y Villa Caro, R. (1998). Concentration of the distance in finite dimensional normed spaces. Mathematika, 45 (2), 245-252.
dc.identifier.issn	0025-5793	es
dc.identifier.issn	2041-7942	es
dc.identifier.uri	http://hdl.handle.net/11441/49498
dc.description.abstract	We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is more than √2(1 − ε). As a consecuence, we obtain a result proved by Bourgain, using QS-descomposition, that guarantees an exponentially large number of points in the unit ball any two of which are separated by more than √2(1 − ε).	es
dc.description.sponsorship	Dirección General de Investigación Científica y Técnica	es
dc.description.sponsorship	National Science Foundation	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics	es
dc.relation.ispartof	Mathematika, 45 (2), 245-252.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Normed space	es
dc.subject	Almost equidistant points	es
dc.subject	Concentration of distance	es
dc.subject	Concentration of measure	es
dc.subject	Uniformly convex spaces	es
dc.title	Concentration of the distance in finite dimensional normed spaces	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Análisis Matemático	es
dc.relation.projectID	PB93-0926	es
dc.relation.projectID	DMS-9257020	es
dc.relation.publisherversion	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5A0A575A47D3CF048C9DCDD8904F2585/S0025579300014182a.pdf/concentration-of-the-distance-in-finite-dimensional-normed-spaces.pdf	es
dc.identifier.doi	10.1112/S0025579300014182	es
dc.contributor.group	Universidad de Sevilla. FQM104: Análisis Matemático	es
idus.format.extent	9 p.	es
dc.journaltitle	Mathematika	es
dc.publication.volumen	45	es
dc.publication.issue	2	es
dc.publication.initialPage	245	es
dc.publication.endPage	252	es
dc.identifier.idus	https://idus.us.es/xmlui/handle/11441/49498
dc.contributor.funder	Dirección General de Investigación Científica y Técnica (DGICYT). España
dc.contributor.funder	National Science Foundation (NSF). United States

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