On a result of Peetre about interpolation of operator spaces

  1. Signes Signes, Teresa María
  2. Cobos Díaz, Fernando
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 2000

Volume: 44

Issue: 2

Pages: 457-481

Type: Article

DOI: 10.5565/PUBLMAT_44200_06 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

Sustainable development goals

Abstract

We establish interpolation formulæ for operator spaces that are components of a given quasi-normed operator ideal. Sometimes we assume that one of the couples involved is quasi-linearizable, some other times we assume injectivity or surjectivity in the ideal. We also show the necessity of these suppositions.