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dc.contributor.author | Defant, Andreas | es_ES |
dc.contributor.author | Sevilla Peris, Pablo | es_ES |
dc.date.accessioned | 2018-01-11T09:48:32Z | |
dc.date.available | 2018-01-11T09:48:32Z | |
dc.date.issued | 2016 | es_ES |
dc.identifier.issn | 0039-3223 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/94469 | |
dc.description.abstract | [EN] Let x(m, n) be the unconditional basis constant of the monomial basis Z alpha, alpha is an element of N(0)n with vertical bar alpha vertical bar = m, of the Banach space of all m-homogeneous polynomials inn complex variables, endowed with the supremum norm on the n-dimensional unit polydisc Dn. We prove that the quotient of sup(m) m root sup(m)chi(m, n) and root n/log n tends to 1 as n -> infinity. This reflects a quite precise dependence of chi(m, n) on the degree m of the polynomials and their number n of variables. Moreover, we give an analogous formula for m-linear forms, a reformulation of our results in terms of tensor products, and as an application a solution for a problem on Bohr radii. | es_ES |
dc.description.sponsorship | This research was supported by MCINN project MTM2014-57838-C2-2-P. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | Institute of Mathematics, Polish Academy of Sciences | es_ES |
dc.relation.ispartof | Studia Mathematica | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Unconditional basis constant | es_ES |
dc.subject | Homogeneous polynomials | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Unconditionality for m-homogeneous polynomials on l(infinity)n | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.4064/sm8386-2-2016 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-57838-C2-2-P/ES/ANALISIS COMPLEJO EN DIMENSION FINITA E INFINITA. GEOMETRIA DE ESPACIOS DE BANACH/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Defant, A.; Sevilla Peris, P. (2016). Unconditionality for m-homogeneous polynomials on l(infinity)n. Studia Mathematica. 232(1):45-55. https://doi.org/10.4064/sm8386-2-2016 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.4064/sm8386-2-2016 | es_ES |
dc.description.upvformatpinicio | 45 | es_ES |
dc.description.upvformatpfin | 55 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 232 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\333684 | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |