Jiménez Sevilla, María Del MarPayá Albert, Rafael2023-06-202023-06-2019980039-3223https://hdl.handle.net/20.500.14352/58665For 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.engjournal articlehttps://eudml.org/doc/216467https://eudml.org/restricted access512Norm attaining multilinear forms and polynomialsweakly continuous multilinear forms and polynomialsLorentz sequence spaces.Álgebra1201 Álgebra