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      A Lindenstrauss theorem for some classes of multilinear mappings

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          Abstract

          Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal whose Arens extensions simultaneously attain their norms. We also consider the class of symmetric multilinear mappings.

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          Author and article information

          Journal
          2014-01-02
          2015-04-06
          Article
          1401.0488
          c13383cd-814d-4cb5-80de-56f013c11394

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Journal of Mathematical Analysis and Applications, Volume 427, Issue 1, 1 July 2015, Pages 248-262
          11 pages
          math.FA

          Functional analysis
          Functional analysis

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