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A hypercyclicity criterion for non-metrizable topological vector spaces

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A hypercyclicity criterion for non-metrizable topological vector spaces

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dc.contributor.author Peris Manguillot, Alfredo es_ES
dc.date.accessioned 2019-07-03T20:03:01Z
dc.date.available 2019-07-03T20:03:01Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0208-6573 es_ES
dc.identifier.uri http://hdl.handle.net/10251/123143
dc.description.abstract [EN] We provide a sufficient condition for an operator T on a non-metrizable and sequentially separable topological vector space X to be sequentially hypercyclic. This condition is applied to some particular examples, namely, a composition operator on the space of real analytic functions on ]0; 1[, which solves two problems of Bonet and Domanski [3], and the ¿snake shift¿ constructed in [5] on direct sums of sequence spaces. The two examples have in common that they do not admit a densely embedded F-space Y for which the operator restricted to Y is continuous and hypercyclic, i.e., the hypercyclicity of these operators cannot be a consequence of the comparison principle with hypercyclic operators on F-spaces. es_ES
dc.description.sponsorship The author thanks Jose Bonet and Pawel Domanski for interesting conversations on the results of the paper, and the referee for valuable comments that produced an improved presentation. He also acknowledges the support of MINECO, Project MTM2016-75963-P, and Generalitat Valenciana, Project PROMETEO/2017/102. es_ES
dc.language Inglés es_ES
dc.publisher Adam Mickiewicz University es_ES
dc.relation.ispartof Functiones et Approximatio Commentarii Mathematici es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Hypercyclic operators es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A hypercyclicity criterion for non-metrizable topological vector spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.7169/facm/1739 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2016-75963-P/ES/DINAMICA DE OPERADORES/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Peris Manguillot, A. (2018). A hypercyclicity criterion for non-metrizable topological vector spaces. Functiones et Approximatio Commentarii Mathematici. 59(2):279-284. https://doi.org/10.7169/facm/1739 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.7169/facm/1739 es_ES
dc.description.upvformatpinicio 279 es_ES
dc.description.upvformatpfin 284 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 59 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\384349 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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