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Sharp values for the constants in the polynomial Bohnenblust-Hille inequality.

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Jiménez Rodríguez, P. and Muñoz-Fernández, Gustavo A. and Murillo Arcila, M. and Seoane-Sepúlveda, Juan B. (2015) Sharp values for the constants in the polynomial Bohnenblust-Hille inequality. Linear and Multilinear Algebra . pp. 1-19. ISSN 1563-5139

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/03081087.2015.1115810#


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Abstract

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in C2 is exactly 4q 3 2 . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in R2. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials
in R2 of higher degrees.


Item Type:Article
Uncontrolled Keywords:Absolutely summing operators; Bohnenblust–Hille constants; Quantum Information Theory
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:35252
Deposited On:01 Feb 2016 08:16
Last Modified:29 Nov 2016 09:08

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