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Orthogonally additive polynomials on spaces of continuous functions

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dc.contributor.authorVillanueva Díez, Ignacio
dc.contributor.authorPérez García, David
dc.date.accessioned2023-06-20T09:25:23Z
dc.date.available2023-06-20T09:25:23Z
dc.date.issued2005-06-01
dc.description.abstractWe show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a related result of Sundaresam for polynomials on L-p spaces.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/11674
dc.identifier.citationPérez García, D. & Villanueva Díez, I. «Orthogonally Additive Polynomials on Spaces of Continuous Functions». Journal of Mathematical Analysis and Applications, vol. 306, n.o 1, junio de 2005, pp. 97-105. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2004.12.036.
dc.identifier.doi10.1016/j.jmaa.2004.12.036
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1016/j.jmaa.2004.12.036
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/journal/0022247X
dc.identifier.urihttps://hdl.handle.net/20.500.14352/49451
dc.issue.number1
dc.journal.titleJournal of Mathematical Analysis and applications
dc.language.isoeng
dc.page.final105
dc.page.initial97
dc.publisherAcademic Press
dc.relation.projectID(BMF 2001-1240)
dc.relation.projectID(BMF 2001-1340)
dc.rights.accessRightsopen access
dc.subject.cdu517
dc.subject.keywordSpaces of continuous functions
dc.subject.keywordOrthogonally additive
dc.subject.keywordPolynomials
dc.subject.keywordRepresentation
dc.subject.keywordTheorem
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleOrthogonally additive polynomials on spaces of continuous functionsen
dc.typejournal article
dc.volume.number306
dspace.entity.typePublication
relation.isAuthorOfPublication45785a65-66ff-415c-a422-bfdc6e3ff149
relation.isAuthorOfPublication5edb2da8-669b-42d1-867d-8fe3144eb216
relation.isAuthorOfPublication.latestForDiscovery5edb2da8-669b-42d1-867d-8fe3144eb216

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