%0 Journal Article
%A Jiménez Sevilla, María Del Mar
%A Payá Albert, Rafael
%T Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces.
%D 1998
%@ 0039-3223
%U https://hdl.handle.net/20.500.14352/58665
%X 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.
%~