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Some Metric and Topological Properties of Nearly Strongly and Nearly Very Convex Spaces

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Some Metric and Topological Properties of Nearly Strongly and Nearly Very Convex Spaces

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dc.contributor.author Zhang, Zihou es_ES
dc.contributor.author Montesinos Santalucia, Vicente es_ES
dc.contributor.author Liu, Chunyan es_ES
dc.date.accessioned 2021-05-13T03:31:56Z
dc.date.available 2021-05-13T03:31:56Z
dc.date.issued 2020-03 es_ES
dc.identifier.issn 0252-9602 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166261
dc.description.abstract [EN] We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points, related to the so-called Rolewicz's property (alpha). We give a characterization of those points in terms of continuity properties of the identity mapping. The connection between these two geometric properties is established, and finally an application to approximative compactness is given. es_ES
dc.description.sponsorship The first named author was supported in part by the National Natural Science Foundation of China (11671252, 11771248); The second named author is supported by Proyecto MTM2014-57838-C2-2-P (Spain) and the Universitat Politècnica de València (Spain). es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Acta Mathematica Scientia es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Banach spaces es_ES
dc.subject Nearly strongly convex spaces es_ES
dc.subject Nearly very convex spaces es_ES
dc.subject Kadec property es_ES
dc.subject Radon-Riesz property es_ES
dc.subject Approximative compactness es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Some Metric and Topological Properties of Nearly Strongly and Nearly Very Convex Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s10473-020-0205-7 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2014-57838-C2-2-P/ES/ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA. GEOMETRIA DE ESPACIOS DE BANACH/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83262-C2-1-P/ES/ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACH/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11671252/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11771248/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Zhang, Z.; Montesinos Santalucia, V.; Liu, C. (2020). Some Metric and Topological Properties of Nearly Strongly and Nearly Very Convex Spaces. Acta Mathematica Scientia. 40(2):369-378. https://doi.org/10.1007/s10473-020-0205-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s10473-020-0205-7 es_ES
dc.description.upvformatpinicio 369 es_ES
dc.description.upvformatpfin 378 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 40 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\407886 es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
dc.contributor.funder National Natural Science Foundation of China es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
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