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The canonical partial metric and the uniform convexity on normed spaces

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The canonical partial metric and the uniform convexity on normed spaces

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dc.contributor.author Oltra, S. es_ES
dc.contributor.author Romaguera, Salvador es_ES
dc.contributor.author Sánchez-Pérez, E.A. es_ES
dc.date.accessioned 2017-06-09T08:36:19Z
dc.date.available 2017-06-09T08:36:19Z
dc.date.issued 2005-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82633
dc.description.abstract [EN] In this paper we introduce the notion of canonical partial metric associated to a norm to study geometric properties of normed spaces. In particular, we characterize strict convexity and uniform convexity of normed spaces in terms of the canonical partial metric defined by its norm. We prove that these geometric properties can be considered, in this sense, as topological properties that appear when we compare the natural metric topology of the space with the non translation invariant topology induced by the canonical partial metric in the normed space. es_ES
dc.description.sponsorship The authors acknowledge the support of the Generalidad Valenciana, grant GV04B-371, the Spanish Ministry of Science and Technology, Plan Nacional I+D+I, grant BFM2003-02302, and FEDER, and the Polytechnical University of Valencia.
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Partial metric es_ES
dc.subject Convexity es_ES
dc.subject Normed spaces es_ES
dc.title The canonical partial metric and the uniform convexity on normed spaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-09T06:27:09Z
dc.identifier.doi 10.4995/agt.2005.1954
dc.relation.projectID info:eu-repo/grantAgreement/GVA//GV 04B-371/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICYT//BFM2003-02302/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Oltra, S.; Romaguera, S.; Sánchez-Pérez, E. (2005). The canonical partial metric and the uniform convexity on normed spaces. Applied General Topology. 6(2):185-194. https://doi.org/10.4995/agt.2005.1954 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2005.1954 es_ES
dc.description.upvformatpinicio 185 es_ES
dc.description.upvformatpfin 194 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 6
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder Generalitat Valenciana
dc.contributor.funder Ministerio de Ciencia y Tecnología
dc.contributor.funder Universitat Politècnica de València


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