Uniform approximation on ideals of multilinear mappings
- Geraldo Botelho
- Pablo Galindo Pastor
- Leonardo Pellegrini
ISSN: 0025-5521
Année de publication: 2010
Volumen: 106
Número: 2
Pages: 301-319
Type: Article
D'autres publications dans: Mathematica scandinavica
Résumé
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.