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dc.contributor.author | Frerick, Leonhard![]() |
es_ES |
dc.contributor.author | Jorda Mora, Enrique![]() |
es_ES |
dc.contributor.author | Kalmes, Thomas![]() |
es_ES |
dc.contributor.author | Wengenroth, Jochen![]() |
es_ES |
dc.date.accessioned | 2015-03-27T17:05:31Z | |
dc.date.available | 2015-03-27T17:05:31Z | |
dc.date.issued | 2014-04-01 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10251/48422 | |
dc.description.abstract | We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequences, its generator is a continuous linear operator A is an element of L(omega) and that, for all x is an element of omega and t >= 0, the series exp(tA)(x) = Sigma(infinity)(k=0) t(k)/k! A(k)(x) converges to T-t(x). This solves a problem posed by Conejero. Moreover, we improve recent results of Albanese, Bonet, and Ricker about semigroups on strict projective limits of Banach spaces. (C) 2013 Elsevier Inc. All rights reserved. | es_ES |
dc.description.sponsorship | The research was partially done during a stay of the fourth named author at EPSA-UPV. This visit was supported by Proyecto Prometeo 11/2013/013. The research of the first and second named authors was supported by MICINN and FEDER, Project MTM2010-15200. The research of the second named author was partially supported by Programa de Apoyo a la Investigacion y Desarrollo de la UPV PAID-06-12. | 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 | Semigroups | es_ES |
dc.subject | Fréchet spaces | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Strongly continuous semigroups on some Fréchet spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1016/j.jmaa.2013.10.053 | |
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/UPV//PAID-06-12/ | 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 | Frerick, L.; Jorda Mora, E.; Kalmes, T.; Wengenroth, J. (2014). Strongly continuous semigroups on some Fréchet spaces. Journal of Mathematical Analysis and Applications. 412(1):121-124. https://doi.org/10.1016/j.jmaa.2013.10.053 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jmaa.2013.10.053 | es_ES |
dc.description.upvformatpinicio | 121 | es_ES |
dc.description.upvformatpfin | 124 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 412 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.senia | 251768 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Universitat Politècnica de València | es_ES |