Uniform approximation on ideals of multilinear mappings

  1. Geraldo Botelho
  2. Pablo Galindo Pastor
  3. Leonardo Pellegrini
Revista:
Mathematica scandinavica

ISSN: 0025-5521

Any de publicació: 2010

Volum: 106

Número: 2

Pàgines: 301-319

Tipus: Article

DOI: 10.7146/MATH.SCAND.A-15139 DIALNET GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Mathematica scandinavica

Resum

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.

Fuente de los datos: Dialnet