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

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Jimenéz Sevilla M., Payá R.

Studia Mathematica

1998

tom 127

nr 2

99-112

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.

Ograniczanie wyników

1 Studia Mathematica

1 Jimenéz Sevilla M.

1 Payá R.

1 1998

Wyniki wyszukiwania

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