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.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.relation.projectID |
info:eu-repo/grantAgreement/MICINN//MTM2008-05396/ES/LA INTERACCION ENTRE TEORIA DE LA MEDIDA, TOPOLOGIA Y ANALISIS FUNCIONAL/ / |
es_ES |
dc.relation.projectID |
info:eu-repo/grantAgreement/GVA//GV%2F2010%2F036/ |
es_ES |
dc.relation.projectID |
info:eu-repo/grantAgreement/UPV//PAID-06-09-2829/ |
es_ES |
dc.relation.projectID |
info:eu-repo/grantAgreement/MICINN//MTM2011-25377/ES/LA INTERACCION ENTRE TEORIA DE LA MEDIDA, TOPOLOGIA Y ANALISIS FUNCIONAL./ |
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.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. https://doi.org/10.1016/j.aim.2013.03.005 |
es_ES |
dc.description.accrualMethod |
S |
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 |
|
dc.contributor.funder |
Ministerio de Ciencia e Innovación |
es_ES |
dc.contributor.funder |
Generalitat Valenciana |
es_ES |
dc.contributor.funder |
Universitat Politècnica de València |
es_ES |