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A Bishop-Phelps-Bollobas Type Theorem for uniform algegras

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A Bishop-Phelps-Bollobas Type Theorem for uniform algegras

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dc.contributor.author Cascales, B. es_ES
dc.contributor.author Guirao Sánchez, Antonio José es_ES
dc.contributor.author Kadets, V. es_ES
dc.date.accessioned 2014-05-23T12:22:37Z
dc.date.issued 2013-06-20
dc.identifier.issn 0001-8708
dc.identifier.uri http://hdl.handle.net/10251/37716
dc.description.abstract This paper is devoted to showing that Asplund operators with range in a uniform Banach algebra have the Bishop¿Phelps¿Bollobas property, i.e., they are approximated by norm attaining Asplund operators at the same time that a point where the approximated operator almost attains its norm is approximated by a point at which the approximating operator attains it. To prove this result we use the weak*-to-norm fragmentability of weak*-compact subsets of the dual of Asplund spaces and we need to observe a Urysohn type result producing peak complex-valued functions in uniform algebras that are small outside a given open set and whose image is inside a Stolz region. es_ES
dc.description.sponsorship This research was partially supported by MEC and FEDER projects MTM2008-05396 and MTM2011-25377. The research of the second author was also partially supported by Generalitat Valenciana (GV/2010/036), and by Universidad Politecnica de Valencia (project PAID-06-09-2829). en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation MEC and FEDER projects MTM2008-05396 and MTM2011-25377 es_ES
dc.relation Generalitat Valenciana (GV/2010/036) es_ES
dc.relation Universidad Politecnica de Valencia (project PAID-06-09-2829) es_ES
dc.relation.ispartof Advances in Mathematics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Bishop-Phelps-Bollobás es_ES
dc.subject Asplund operators es_ES
dc.subject Norm attaining es_ES
dc.subject Uniform Banach algebra es_ES
dc.subject Peak functions es_ES
dc.subject Urysohn lemma es_ES
dc.subject IUMPA es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A Bishop-Phelps-Bollobas Type Theorem for uniform algegras es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.aim.2013.03.005
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Cascales, B.; Guirao Sánchez, AJ.; Kadets, V. (2013). A Bishop-Phelps-Bollobas Type Theorem for uniform algegras. Advances in Mathematics. 240:370-382. doi:10.1016/j.aim.2013.03.005 es_ES
dc.description.accrualMethod Senia es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.aim.2013.03.005 es_ES
dc.description.upvformatpinicio 370 es_ES
dc.description.upvformatpfin 382 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 240 es_ES
dc.relation.senia 243459


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