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dc.contributor.authorBoyd, C.
dc.contributor.authorRyan, R. A.
dc.date.accessioned2018-08-24T08:24:10Z
dc.date.available2018-08-24T08:24:10Z
dc.date.issued2006-02-02
dc.identifier.citationBoyd, C. Ryan, R. A. (2006). The norm of the product of polynomials in infinite dimensions. Proceedings of the Edinburgh Mathematical Society 49 , 17-28
dc.identifier.issn0013-0915,1464-3839
dc.identifier.urihttp://hdl.handle.net/10379/8893
dc.description.abstractGiven a Banach space E and positive integers k and l we investigate the smallest constant C that satisfies parallel to P parallel to parallel to Q parallel to <= C parallel to PQ parallel to for all k-homogeneous polynomials P and l-homogeneous polynomials Q on E. Our estimates are obtained using multilinear maps, the principle of local reflexivity and ideas from the geometry of Banach spaces (type and uniform convexity). We also examine the analogous problem for general polynomials on Banach spaces.
dc.publisherCambridge University Press (CUP)
dc.relation.ispartofProceedings of the Edinburgh Mathematical Society
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectpolynomials
dc.subjectgeometry of banach spaces
dc.subjectnorm inequalities
dc.subjectsharp inequalities
dc.subjectvariables
dc.subjectmappings
dc.subjecttheorem
dc.titleThe norm of the product of polynomials in infinite dimensions
dc.typeArticle
dc.identifier.doi10.1017/s0013091504000756
dc.local.publishedsourcehttps://www.cambridge.org/core/services/aop-cambridge-core/content/view/D6C2DD7AAA7C11BCE37EAE5860191968/S0013091504000756a.pdf/div-class-title-the-norm-of-the-product-of-polynomials-in-infinite-dimensions-div.pdf
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