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      Separable determination of (generalized-)lushness

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          Abstract

          We prove that every Asplund lush space is generalized-lush using the method of separable reduction. This gives a partial positive answer to a question by Jan-David Hardtke.

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          Author and article information

          Journal
          2015-07-21
          2016-08-12
          Article
          1507.05709
          ba6405af-7826-40dc-ac01-5e2b58f752dd

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

          History
          Custom metadata
          46B26, 46B20
          This paper has been withdrawn by the author, because it has been extended and given another title. The results from the preprint "Separable determination of (generalized-)lushness" are contained in Section 3 of a new preprint "Separable determination in Banach spaces" available on arxiv
          math.FA

          Functional analysis
          Functional analysis

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