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ArticleOriginal scientific text

Title

On multilinear mappings attaining their norms.

Authors 1

Affiliations

  1. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada 18071, Granada, Spain

Abstract

We show, for any Banach spaces X and Y, the denseness of the set of bilinear forms on X × Y whose third Arens transpose attains its norm. We also prove the denseness of the set of norm attaining multilinear mappings in the class of multilinear mappings which are weakly continuous on bounded sets, under some additional assumptions on the Banach spaces, and give several examples of classical spaces satisfying these hypotheses.

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Studia Mathematica
1998/131/2
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Pages:
155-165
Main language of publication
English
Received
1997-09-22
Accepted
1998-03-02
Published
1998
Exact and natural sciences