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Geometric properties and continuity of the pre-duality mapping in Banach space

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Geometric properties and continuity of the pre-duality mapping in Banach space

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dc.contributor.author Zhang, Z. H. es_ES
dc.contributor.author Montesinos Santalucia, Vicente es_ES
dc.contributor.author Liu, C. Y. es_ES
dc.contributor.author Gong, W. Z. es_ES
dc.date.accessioned 2016-06-15T06:51:37Z
dc.date.available 2016-06-15T06:51:37Z
dc.date.issued 2015-09
dc.identifier.issn 1578-7303
dc.identifier.uri http://hdl.handle.net/10251/65939
dc.description.abstract We use the preduality mapping in proving characterizations of some geometric properties of Banach spaces. In particular, those include nearly strongly convexity, nearly uniform convexity-a property introduced by K. Goebel and T. Sekowski-, and nearly very convexity. es_ES
dc.description.sponsorship We thank a referee for the careful reading of the manuscript. His/her observations substantially improved the overall aspect of the present work, detected several misprints and made some convenient changes. This work was supported by: (1) The National Natural Science Foundation of China (Grant no. 11271248). (2) Specific Academic Discipline Project of Shanghai Municipal Education Commission (Grant no. B-8932-13-0136). (3) Project MTM2011-22417, Ministerio de Ciencia e Innovacion, Spain (V. Montesinos). en_EN
dc.language Inglés es_ES
dc.publisher Springer es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Duality mapping es_ES
dc.subject Pre-duality mapping es_ES
dc.subject Alpha-upper semi-continuity es_ES
dc.subject Usco mapping es_ES
dc.subject Nearly strongly convex space es_ES
dc.subject Nearly uniformly convex space es_ES
dc.subject Nearly very convex space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Geometric properties and continuity of the pre-duality mapping in Banach space es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-014-0190-6
dc.relation.projectID info:eu-repo/grantAgreement/NSFC//11271248/
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-22417/ES/ESPACIOS Y ALGEBRAS DE FUNCIONES DIFERENCIABLES/
dc.relation.projectID info:eu-repo/grantAgreement/SMEC//B-8932-13-0136/
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, ZH.; Montesinos Santalucia, V.; Liu, CY.; Gong, WZ. (2015). Geometric properties and continuity of the pre-duality mapping in Banach space. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 109(2):407-416. https://doi.org/10.1007/s13398-014-0190-6 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1007/s13398-014-0190-6 es_ES
dc.description.upvformatpinicio 407 es_ES
dc.description.upvformatpfin 416 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 109 es_ES
dc.description.issue 2 es_ES
dc.relation.senia 308114 es_ES
dc.contributor.funder National Natural Science Foundation of China
dc.contributor.funder Shanghai Municipal Education Commission
dc.contributor.funder Ministerio de Ciencia e Innovación
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