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A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions

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A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions

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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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