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dc.contributor.author | Guirao Sánchez, Antonio José![]() |
es_ES |
dc.contributor.author | Lissitsin, A.![]() |
es_ES |
dc.contributor.author | Montesinos Santalucia, Vicente![]() |
es_ES |
dc.date.accessioned | 2020-12-31T04:31:27Z | |
dc.date.available | 2020-12-31T04:31:27Z | |
dc.date.issued | 2019-11-01 | es_ES |
dc.identifier.issn | 0022-247X | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/158178 | |
dc.description.abstract | [EN] A Banach space X has the so-called ball-covering property whenever its unit sphere can be covered by a countable collection of open balls that miss the origin. If 0 < alpha < 1, then X has the alpha-ball covering property if those balls miss alpha B-x. We show that X is separable if and only if X can be renormed such that the dual (X, vertical bar parallel to . parallel to vertical bar)* enjoys the alpha-BCP for some (or all) alpha is an element of (0,1). In contrast with this, we observe that the separability of X does not always imply the BCP of the dual X*. The latter fact follows from a general example: non-separable C(K)* spaces fail the BCP in a major way - they even fail the "(-1)-BCP". (C) 2019 Elsevier Inc. All rights reserved. | es_ES |
dc.description.sponsorship | The first-named author was supported by AEI/FEDER (project MTM2017-83262-C2-2-P of Ministerio de Economía y Competitividad), by Fundación Séneca, Región de Murcia (grant 19368/PI/14), and Universitat Politècnica de València. The second-named author was supported by the Estonian Research Council (grant PUTJD670) and partially by the Estonian Ministry of Education and Research (institutional research funding IUT20-57). The second named author would like to thank the Instituto Universitario de Matemática Pura y Aplicada of the Universitat Politècnica de València for the excellent working conditions during his stay there in 2018. The third-named author was supported by AEI/FEDER (project MTM2017-83262-C2-1-P of Ministerio de Economía y Competitividad) and Universitat Politècnica de València. The authors would like to thank the referee for the comments that improved the paper. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Ball-covering | es_ES |
dc.subject | Norming subspaces | es_ES |
dc.subject | Renorming | es_ES |
dc.subject | Separability | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Some remarks on the ball-covering property | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2019.06.040 | 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/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83262-C2-2-P/ES/LA INTERACCION ENTRE GEOMETRIA Y TOPOLOGIA EN ESPACIOS DE BANACH. APLICACIONES./ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/f SéNeCa//19368%2FPI%2F14/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/HM//IUT20-57/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Estonian Research Council/PUTJD670/ | es_ES |
dc.rights.accessRights | Cerrado | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Guirao Sánchez, AJ.; Lissitsin, A.; Montesinos Santalucia, V. (2019). Some remarks on the ball-covering property. Journal of Mathematical Analysis and Applications. 479(1):608-620. https://doi.org/10.1016/j.jmaa.2019.06.040 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2019.06.040 | es_ES |
dc.description.upvformatpinicio | 608 | es_ES |
dc.description.upvformatpfin | 620 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 479 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\407511 | es_ES |
dc.contributor.funder | Estonian Research Council | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |
dc.contributor.funder | Estonian Ministry of Science and Education | es_ES |
dc.contributor.funder | Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |