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dc.contributor.author | Beltrán Meneu, María José | es_ES |
dc.date.accessioned | 2013-07-25T07:00:17Z | |
dc.date.available | 2013-07-25T07:00:17Z | |
dc.date.issued | 2012 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10251/31403 | |
dc.description.abstract | Given a decreasing family of continuous weights on a Banach space X, we consider the weighted inductive limits of spaces of entire functions VH(X) and VH0(X). Motivated by recent research by D. Carando and P. Sevilla-Peris on weighted Fréchet algebras of entire functions on Banach spaces, we determine conditions on the family of weights to ensure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study Hörmander algebras of entire functions defined on a Banach space and we give a description of them in terms of sequence spaces. We also focus on algebra homomorphisms between these spaces and obtain a Banach-Stone type theorem for a particular decreasing family of weights. Finally, we study the spectra of these weighted algebras, endowing them with an analytic structure. © 2011 Elsevier Inc. | es_ES |
dc.description.sponsorship | The author was partially supported by MEC and FEDER Project MTM2010-15200 and grant F.P.U. AP2008-00604, and Conselleria d'Educacio de la GVA, Project GV/2010/040. | en_EN |
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 | (LB)-space | es_ES |
dc.subject | Hörmander algebras | es_ES |
dc.subject | Schauder decompositions | es_ES |
dc.subject | Spectra | es_ES |
dc.subject | Weighted algebras of holomorphic functions | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Spectra of weighted (LB)-algebras of entire functions on Banach spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2011.09.022 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//AP2008-00604/ES/AP2008-00604/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//GV%2F2010%2F040/ES/Operadores de extensión de Whitney, curvas ultradiferenciables, iterados de operadores diferenciales y frente de ondas/ | es_ES |
dc.rights.accessRights | Cerrado | 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 | Beltrán Meneu, MJ. (2012). Spectra of weighted (LB)-algebras of entire functions on Banach spaces. Journal of Mathematical Analysis and Applications. 387:604-617. https://doi.org/10.1016/j.jmaa.2011.09.022 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2011.09.022 | es_ES |
dc.description.upvformatpinicio | 604 | es_ES |
dc.description.upvformatpfin | 617 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 387 | es_ES |
dc.relation.senia | 209323 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |