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Strongly continuous semigroups on some Fréchet spaces

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Strongly continuous semigroups on some Fréchet spaces

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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


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