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dc.contributor.author | Carando, Daniel | es_ES |
dc.contributor.author | Garcia, Domingo | es_ES |
dc.contributor.author | Maestre, Manuel | es_ES |
dc.contributor.author | Sevilla Peris, Pablo | es_ES |
dc.date.accessioned | 2021-05-13T03:32:40Z | |
dc.date.available | 2021-05-13T03:32:40Z | |
dc.date.issued | 2009 | es_ES |
dc.identifier.issn | 0040-9383 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/166274 | |
dc.description.abstract | [EN] In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space HV (U) of holomorphic functions on U has a Frechet algebra structure. For such weights it is shown that the spectrum of HV(U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = C-n. (C) 2009 Elsevier Ltd. All rights reserved. | es_ES |
dc.description.sponsorship | We warmly thank Antonio Galbis for providing us with Example 2.6. We also thank the referee for useful comments which have improved the paper. The first author was partially supported by ANPCyT PICT 05 17-33042, UBACyT Grant X038 and ANPCyT PICT 06 00587. The three last authors were supported in part by MEC and FEDER Project MTM2008-03211. The third author was also supported by Prometeo 2008/101. Part of this work was performed while the first cited author was visiting the Departamento de Análisis Matemático (Universidad de Valencia) and Departamento de Matemática Aplicada (Universidad Politécnica de Valencia) during November 2008. He wishes to thank all the good friends in both Departments and also those outside them for such a pelasing time. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation.ispartof | Topology | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Weighted space of holomorphic functions | es_ES |
dc.subject | Frechet algebra | es_ES |
dc.subject | Analytic manifold structure | es_ES |
dc.subject | Symmetrically regular Banach space | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.top.2009.11.003 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2008-03211/ES/GEOMETRIA Y DIFERENCIACION EN ESPACIOS DE BANACH. ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA./ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/ANPCyT//PICT-05-17-33042/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UBA//X038/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/ANPCyT//PICT-2006-00587/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/Generalitat Valenciana//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/ | 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 | Carando, D.; Garcia, D.; Maestre, M.; Sevilla Peris, P. (2009). A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions. Topology. 48(2-4):54-65. https://doi.org/10.1016/j.top.2009.11.003 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1016/j.top.2009.11.003 | es_ES |
dc.description.upvformatpinicio | 54 | es_ES |
dc.description.upvformatpfin | 65 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 48 | es_ES |
dc.description.issue | 2-4 | es_ES |
dc.relation.pasarela | S\38609 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Universidad de Buenos Aires | es_ES |
dc.contributor.funder | Agencia Nacional de Promoción Científica y Tecnológica, Argentina | es_ES |
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