Abstract
A vector-valued version of Grothendieck's inequality (which seems to be of independent interest) is used to show that for operators between operator spaces the completely bounded norm and the so-called (∞, 1)-completely bounded norm are equivalent - the latter norm is a priori larger than the cb-norm and the largest among the scale of all (q,p)-completely bounded norms (for q = p originally invented by Pisier). The link between these two Grothendieck type inqualities is a vector-valued version of the Maurey-Rosenthal factorization theorem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 295-310 |
| Number of pages | 16 |
| Journal | Indiana University Mathematics Journal |
| Volume | 48 |
| Issue number | 1 |
| State | Published - Mar 1999 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)