Uniform approximation on ideals of multilinear mappings

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

ISSN: 0025-5521

Year of publication: 2010

Volume: 106

Issue: 2

Pages: 301-319

Type: Article

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

More publications in: Mathematica scandinavica

Abstract

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.

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