Lp-matricially normed spaces and operator space valued schatten spaces

Marius Junge, Christian Le Merdy, Lahcène Mezrag

Research output: Contribution to journalArticle

Abstract

Let 1 ≤ p < ∞ and let F be an operator space. Let S kp [F] be Pisier's operator space valued Schatten space, for any integer k ≥ 1. Then F equipped with the matrix norms given by the Skp[F]'s is an Lp-matricially normed space. We show that if p ≠ 1, not all Lp-matricially normed spaces are of this form. Then we give a characterization of those Lp-matricially normed spaces which are of this form. Indiana University Mathematics Journal

Original languageEnglish (US)
Pages (from-to)2511-2534
Number of pages24
JournalIndiana University Mathematics Journal
Volume56
Issue number5
DOIs
StatePublished - Dec 1 2007

Keywords

  • Completely bounded maps
  • L-matricially normed spaces
  • Operator spaces

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'L<sup>p</sup>-matricially normed spaces and operator space valued schatten spaces'. Together they form a unique fingerprint.

  • Cite this