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dc.contributor.author | Cascales Salinas, Bernardo | es_ES |
dc.contributor.author | Guirao Sánchez, Antonio José | es_ES |
dc.contributor.author | Kadets, Vladimir | es_ES |
dc.contributor.author | Soloviova, Mariia | es_ES |
dc.date.accessioned | 2018-05-25T04:25:00Z | |
dc.date.available | 2018-05-25T04:25:00Z | |
dc.date.issued | 2018 | es_ES |
dc.identifier.issn | 0022-1236 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/102624 | |
dc.description.abstract | [EN] The Bishop-Phelps-Bollobas property deals with simultaneous approximation of an operator T and a vector x at which T nearly attains its norm by an operator T-o and a vector x(o), respectively, such that T-o attains its norm at x(o). In this note we extend the already known results about the Bishop-Phelps Bollobas property for Asplund operators to a wider class of Banach spaces and to a wider class of operators. Instead of proving a BPB-type theorem for each space separately we isolate two main notions: Gamma-flat operators and Banach spaces with ACK(rho) structure. In particular, we prove a general BPB-type theorem for Gamma-flat operators acting to a space with ACK(rho) structure and show that uniform algebras and spaces with the property beta have ACK(rho) structure. We also study the stability of the ACK(rho) structure under some natural Banach space theory operations. As a consequence, we discover many new examples of spaces Y such that the Bishop-Phelps-Bollobas property for Asplund operators is valid for all pairs of the form (X, Y). | es_ES |
dc.description.sponsorship | The research of the first, second and third authors was partially supported by MINECO grant MTM2014-57838-C2-1-P and Fundacion Seneca, Region de Murcia grant 19368/PI/14. The research of the third author is done in frames of Ukrainian Ministry of Science and Education Research Program 0115U000481. The research of the fourth author has been partially performed during her stay in University of Murcia in frames of Erasmus+ program. We thank the referee for his/her suggestions that helped to improve the original manuscript. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Journal of Functional Analysis | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Bishop-Phelps-Bollobas | es_ES |
dc.subject | Asplund operators | es_ES |
dc.subject | Norm attaining | es_ES |
dc.subject | Uniform algebra | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Gamma-flatness and Bishop-Phelps-Bollobas type theorems for operators | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jfa.2017.10.020 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-57838-C2-1-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.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 | Cascales Salinas, B.; Guirao Sánchez, AJ.; Kadets, V.; Soloviova, M. (2018). Gamma-flatness and Bishop-Phelps-Bollobas type theorems for operators. Journal of Functional Analysis. 274(3):863-888. https://doi.org/10.1016/j.jfa.2017.10.020 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.jfa.2017.10.020 | es_ES |
dc.description.upvformatpinicio | 863 | es_ES |
dc.description.upvformatpfin | 888 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 274 | es_ES |
dc.description.issue | 3 | es_ES |
dc.relation.pasarela | S\359261 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.contributor.funder | Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia | es_ES |