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Quasinormability and topologies on spaces of polynomials

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dc.contributor.authorMartínez Ansemil, José María
dc.contributor.authorBlasco Contreras, Fernando
dc.contributor.authorPonte Miramontes, María Del Socorro
dc.date.accessioned2023-06-20T17:00:42Z
dc.date.available2023-06-20T17:00:42Z
dc.date.issued1997-09-15
dc.description.abstractAn example of a Frechet space E is given such that the space of n-homogeneous continuous polynomials on E, endowed with any of the natural topologies usually considered on it, is quasinormable for every n is an element of N. This space has the particularity that all the natural topologies are different on it for n greater than or equal to 2.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16796
dc.identifier.citationMartínez Ansemil, J. M., Blasco Contreras, F. & Ponte Miramontes, M. S. «Quasinormability and Topologies on Spaces of Polynomials». Journal of Mathematical Analysis and Applications, vol. 213, n.o 2, septiembre de 1997, pp. 534-39. DOI.org (Crossref), https://doi.org/10.1006/jmaa.1997.5555.
dc.identifier.doi10.1006/jmaa.1997.5555
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1006/jmaa.1997.5555
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022247X97955554
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57620
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final539
dc.page.initial534
dc.publisherElsevier
dc.relation.projectIDPR295/95-6140
dc.rights.accessRightsrestricted access
dc.subject.cdu517.53
dc.subject.keywordHolomorphic-functions
dc.subject.keywordFrechet
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleQuasinormability and topologies on spaces of polynomialsen
dc.typejournal article
dc.volume.number213
dspace.entity.typePublication
relation.isAuthorOfPublicatione94d6c20-a1ea-4d41-aa71-df8bbd1ad67d
relation.isAuthorOfPublication67a29a58-69bf-4013-9eef-059313b4a915
relation.isAuthorOfPublication.latestForDiscovery67a29a58-69bf-4013-9eef-059313b4a915

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