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Isomorphic copies of ℓ1 for m-homogeneous non-analytic Bohnenblust–Hille polynomials

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dc.contributor.authorConejero, J. A.
dc.contributor.authorSeoane Sepúlveda, Juan Benigno
dc.contributor.authorSevilla-Peris, P.
dc.date.accessioned2023-06-17T21:53:10Z
dc.date.available2023-06-17T21:53:10Z
dc.date.issued2017
dc.description.abstractWe employ a classical result by Toeplitz (1913) and the seminal work by Bohnenblust and Hille on Dirichlet series (1931) to show that the set of continuous m-homogeneous non-analytic polynomials on c0 contains an isomorphic copy of ℓ1. Moreover, we can have this copy of ℓ1 in such a way that every non-zero element of it fails to be analytic at precisely the same point.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación, Cultura y Deporte
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/42100
dc.identifier.doi10.1002/mana.201600082
dc.identifier.issn0025-584X
dc.identifier.officialurlhttp://onlinelibrary.wiley.com/doi/10.1002/mana.201600082/full
dc.identifier.relatedurlhttp://onlinelibrary.wiley.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/17722
dc.issue.number2-3
dc.journal.titleMathematische Nachrichten
dc.language.isoeng
dc.page.final225
dc.page.initial218
dc.publisherWiley-Blackwell
dc.relation.projectIDMTM2013-47093-P
dc.relation.projectIDMTM2014-57838-C2-2-P
dc.relation.projectIDMTM2015-65825-P
dc.rights.accessRightsrestricted access
dc.subject.cdu517.5
dc.subject.keywordBohnenblust–Hille polynomials
dc.subject.keywordc0
dc.subject.keywordDirichlet series
dc.subject.keywordIsomorphic copy of ℓ1
dc.subject.keywordLineability
dc.subject.keywordm-homogeneous non-analytic polynomials
dc.subject.keywordm-homogeneous polynomials
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleIsomorphic copies of ℓ1 for m-homogeneous non-analytic Bohnenblust–Hille polynomials
dc.typejournal article
dc.volume.number290
dspace.entity.typePublication
relation.isAuthorOfPublicatione85d6b14-0191-4b04-b29b-9589f34ba898
relation.isAuthorOfPublication.latestForDiscoverye85d6b14-0191-4b04-b29b-9589f34ba898

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