On the polynomial numerical index of the real spaces c0, ℓ1 and ℓ∞

Sung Guen Kim; Miguel Martín; Javier Merí

doi:10.1016/j.jmaa.2007.03.101

On the polynomial numerical index of the real spaces c₀, ℓ₁ and ℓ_∞

Sung Guen Kim, Miguel Martín, Javier Merí

University of Granada

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We give a lower bound for the polynomial numerical index of order k for real lush spaces. We use this bound to compute the polynomial numerical index of order 2 of the real spaces c₀, ℓ₁ and ℓ_∞. Finally, we present an example of a real Banach space X whose polynomial numerical indices are positive while the ones of its bidual are zero.

Original language	English
Pages (from-to)	98-106
Number of pages	9
Journal	Journal of Mathematical Analysis and Applications
Volume	337
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2007.03.101
State	Published - 1 Jan 2008

Keywords

Homogeneous polynomials
Polynomial numerical index
Real lush spaces

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10.1016/j.jmaa.2007.03.101

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abstract = "We give a lower bound for the polynomial numerical index of order k for real lush spaces. We use this bound to compute the polynomial numerical index of order 2 of the real spaces c0, ℓ1 and ℓ∞. Finally, we present an example of a real Banach space X whose polynomial numerical indices are positive while the ones of its bidual are zero.",

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AU - Merí, Javier

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AB - We give a lower bound for the polynomial numerical index of order k for real lush spaces. We use this bound to compute the polynomial numerical index of order 2 of the real spaces c0, ℓ1 and ℓ∞. Finally, we present an example of a real Banach space X whose polynomial numerical indices are positive while the ones of its bidual are zero.

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KW - Polynomial numerical index

KW - Real lush spaces

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On the polynomial numerical index of the real spaces c₀, ℓ₁ and ℓ_∞

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Keywords

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