Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces

Jimenéz Sevilla, M. ; Payá, Rafael

Studia Mathematica, Tome 129 (1998), p. 99-112 / Harvested from The Polish Digital Mathematics Library

Résumé

For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space of all continuous N-linear forms on X, but there are continuous (N+1)-linear forms on X which cannot be approximated by norm attaining (N+1)-linear forms. Actually,X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.

Détail

Publié le : 1998-01-01

Zbl 0909.46015

EUDML-ID : urn:eudml:doc:216467

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