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Dissipative operators and additive perturbations in locally convex spaces

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Dissipative operators and additive perturbations in locally convex spaces

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dc.contributor.author Albanese, Angela A. es_ES
dc.contributor.author Jornet Casanova, David es_ES
dc.date.accessioned 2020-09-18T03:34:23Z
dc.date.available 2020-09-18T03:34:23Z
dc.date.issued 2016-06 es_ES
dc.identifier.issn 0025-584X es_ES
dc.identifier.uri http://hdl.handle.net/10251/150301
dc.description "This is the peer reviewed version of the following article: Albanese, Angela A., and David Jornet. 2015. Dissipative Operators and Additive Perturbations in Locally Convex Spaces. Mathematische Nachrichten 289 (8 9). Wiley: 920 49. doi:10.1002/mana.201500150, which has been published in final form at https://doi.org/10.1002/mana.201500150. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving." es_ES
dc.description.abstract [EN] Let (A, D(A)) be a densely defined operator on a Banach space X. Characterizations of when (A, D(A)) generates a C-0-semigroup on X are known. The famous result of Lumer and Phillips states that it is so if and only if (A, D(A)) is dissipative and rg(lambda I - A) subset of X is dense in X for some lambda > 0. There exists also a rich amount of Banach space results concerning perturbations of dissipative operators. In a recent paper Tyran-Kaminska provides perturbation criteria of dissipative operators in terms of ergodic properties. These results, and others, are shown to remain valid in the setting of general non-normable locally convex spaces. Applications of the results to concrete examples of operators on function spaces are also presented. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim es_ES
dc.description.sponsorship The research of the second author was partially supported by MINECO of Spain, Project MTM2013-43540-P, by Programa de Apoyo a la Investigacion y Desarrollo de la UPV, PAID-06-12 and by Generalitat Valenciana ACOMP/2015/186. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Mathematische Nachrichten es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Equicontinuous semigroup es_ES
dc.subject Dissipative operator es_ES
dc.subject Additive perturbation es_ES
dc.subject (Uniformly) mean ergodic operator es_ES
dc.subject Quasi-Montel operator es_ES
dc.subject Locally convex space es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Dissipative operators and additive perturbations in locally convex spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/mana.201500150 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UPV//PAID-06-12/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/ 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 Albanese, AA.; Jornet Casanova, D. (2016). Dissipative operators and additive perturbations in locally convex spaces. Mathematische Nachrichten. 289(8-9):920-949. https://doi.org/10.1002/mana.201500150 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/mana.201500150 es_ES
dc.description.upvformatpinicio 920 es_ES
dc.description.upvformatpfin 949 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 289 es_ES
dc.description.issue 8-9 es_ES
dc.relation.pasarela S\321037 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES
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