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Linear and Multilinear Algebra Volume 55, 2007 - Issue 6
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Original Articles

On the numerical index of vector-valued function spaces

Elmouloudi Ed-Dari Faculté des Sciences Jean Perrin, Université d'Artois, SP 18, 62307-Lens Cedex, FranceCorrespondence[email protected]
,
Mohamed Amine Khamsi Department of Mathematical Sciences, University of Texas at El Paso, 500 West University, Ave. El Paso, Texas 79968-0514, USA
&
Asuman Güven Aksoy Department of Mathematics, Claremont McKenna College, Claremont, CA 91711, USA
Pages 507-513 | Accepted 13 Dec 2006, Published online: 09 Oct 2007
 
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Abstract

Let X be a Banach space and μ a positive measure. In this article, we show that . Also, we investigate the positivity of the numerical index of lp -spaces.

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