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Campo DC | Valor | idioma |
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dc.contributor.author | Veselý, Libor | - |
dc.date.accessioned | 2022-01-20T12:13:05Z | - |
dc.date.available | 2022-01-20T12:13:05Z | - |
dc.date.issued | 2009 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/13439 | - |
dc.description.abstract | Let X be an infinite dimensional normed linear space. It is not difficult to see that arbitrarily near (in the Hausdorrff metric) to the unit ball of X there exists a nonempty closed convex set whose diameter is not attained. We show that such sets are dense in the metric space of all nonempty bounded closed convex subsets of X if and only if either X is not a reflexive Banach space or X is a reflexive Banach space in which every weakly closed set contained in the unit sphere Sx has empty relative interior in Sx. | es_ES |
dc.description.sponsorship | Research partially supported by the MIUR, Italy. | es_ES |
dc.format.extent | 10 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Diametral pair | es_ES |
dc.subject | Bounded closed convex set | es_ES |
dc.subject | Hausdorff metric | es_ES |
dc.subject | Par diametral | es_ES |
dc.subject | Conjunto convexo cerrado acotado | es_ES |
dc.subject | Métrica de Hausdorff | es_ES |
dc.title | Convex sets without diametral pairs | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1204.03 Dominios Convexos | es_ES |
dc.subject.unesco | 1201.01 Geometría Algebraica | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | VESELÝ, L. (2009). Convex sets without diametral pairs. Extracta Mathematicae, 24 (3), 271-280. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Università degli Studi di Milano. Italia | es_ES |
dc.relation.publisherversion | https://www.eweb.unex.es/eweb/extracta/Vol-24-3/24B3Vesely.pdf | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 3 | es_ES |
dc.identifier.publicationfirstpage | 271 | es_ES |
dc.identifier.publicationlastpage | 280 | es_ES |
dc.identifier.publicationvolume | 24 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 24, nº 3 (2009) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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0213-8743_24_3_271.pdf | 170,07 kB | Adobe PDF | Descargar |
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