Resumen de Uniform approximation on ideals of multilinear mappings

Geraldo Botelho, Pablo Galindo Pastor, Leonardo Pellegrini

• For each ideal of multilinear mappings M we explicitly construct a corresponding ideal aM such that multilinear forms in aM are exactly those which can be approximated, in the uniform norm, by multilinear forms in M. This construction is then applied to finite type, compact, weakly compact and absolutely summing multilinear mappings. It is also proved that the correspondence M↦aM is Aron-Berner stability preserving.