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On the real polynomial Bohnenblust-Hille inequality

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Campos, J.R. and Jiménez Rodríguez, P. and Muñoz-Fernández, Gustavo A. and Pellegrino, D. and Seoane-Sepúlveda, Juan B. (2015) On the real polynomial Bohnenblust-Hille inequality. Llinear algebra and its applications, 465 . pp. 391-400. ISSN 0024-3795

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Official URL: http://arxiv.org/pdf/1209.4632v7.pdf


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Abstract

Abstract. It was recently proved by Bayart et al. that the complex polynomial Bohnenblust–Hille
inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreover, we
show that, if DR,m stands for the real Bohnenblust–Hille constant for m-homogeneous polynomials, then lim sup(m) D-R,m(1/m) = 2, a quite surprising result having in mind that the exact value of the Bohnenblust-Hille constants is still a mystery.


Item Type:Article
Uncontrolled Keywords:Bohnenblust–Hille inequality; Absolutely summing operators.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:28282
Deposited On:12 Feb 2015 13:40
Last Modified:28 Nov 2016 08:10

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