On multilinear mappings attaining their norms.

Acosta, Maria

Studia Mathematica, Tome 129 (1998), p. 155-165 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Détail

Publié le : 1998-01-01

Zbl 0934.46048

EUDML-ID : urn:eudml:doc:216572

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