Norm Attaining Arens Extensions on ℓ1

We study norm attaining properties of the Arens extensions of multilinear forms defined on Banach spaces. Among other related results, we construct a multilinear form on ℓ1 with the property that only some fixed Arens extensions determined a priori attain their norms. We also study when multilinear...

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Bibliographic Details
Main Authors: Javier Falcó, Domingo García, Manuel Maestre, Pilar Rueda
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/315641
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