Geodesic
Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces
Studia Mathematica, Tome 127 (1998) no. 2, pp. 99-112

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-127-2-99-112
Keywords: norm attaining multilinear forms and polynomials, weakly continuous multilinear forms and polynomials, Lorentz sequence spaces

M. Jimenéz Sevilla 1 ; Rafael Payá 1

1 
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M. Jimenéz Sevilla; Rafael Payá. Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces. Studia Mathematica, Tome 127 (1998) no. 2, pp. 99-112. doi: 10.4064/sm-127-2-99-112

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