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Polynomial sequential continuity on C(k,e) spaces

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dc.contributor.authorVillanueva Díez, Ignacio
dc.contributor.authorBombal Gordon, Fernando
dc.date.accessioned2023-06-20T09:25:19Z
dc.date.available2023-06-20T09:25:19Z
dc.date.issued2003-06-01
dc.description.abstractWe show that, for bounded sequences in C(K,E), the polynomial sequential convergence is not equivalent to the pointwise polynomial sequential convergence. We introduce several conditions on E under which different versions of the result are true when K is a scattered compact space. These conditions are related with some others appeared in the literature and they seem to be of independent interest.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMadrid Ciencia y Teconología
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11655
dc.identifier.citationBombal Gordon, F. & Villanueva Díez, I. «Polynomial Sequential Continuity on C(K,E) Spaces». Journal of Mathematical Analysis and Applications, vol. 282, n.o 1, junio de 2003, pp. 341-55. DOI.org (Crossref), https://doi.org/10.1016/S0022-247X(03)00161-6.
dc.identifier.doi10.1016/S0022-247X(03)00161-6
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1016/S0022-247X(03)00161-6
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/journal/0022247X
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49444
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final355
dc.page.initial341
dc.publisherElsevier
dc.relation.projectIDBFM2001-1284
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordPolynomial sequential continuity
dc.subject.keywordC(K
dc.subject.keywordE) spaces
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titlePolynomial sequential continuity on C(k,e) spacesen
dc.typejournal article
dc.volume.number282
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublicationae08a0bc-9b54-4bcb-b38e-d977d6955d7e
relation.isAuthorOfPublication.latestForDiscoveryae08a0bc-9b54-4bcb-b38e-d977d6955d7e

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