Uniform approximation on ideals of multilinear mappings

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

ISSN: 0025-5521

Datum der Publikation: 2010

Ausgabe: 106

Nummer: 2

Seiten: 301-319

Art: Artikel

DOI: 10.7146/MATH.SCAND.A-15139 DIALNET GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Mathematica scandinavica

Zusammenfassung

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