Abstract
We construct a Hilbertian operator space X such that the set of completely bounded operators on X consists of Hubert-Schmidt perturbations of a certain representation of the second dual to the James space. This space possesses an orthonormal basis (e i) such that all basis projections are completely contractive, yet any n-dimensional block subspace has complete unconditionality constant of at least c√n (c is a constant).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 551-561 |
| Number of pages | 11 |
| Journal | Houston Journal of Mathematics |
| Volume | 32 |
| Issue number | 2 |
| State | Published - 2006 |
| Externally published | Yes |
Keywords
- Basis
- Operator space
- The James space
- Unconditional basis
ASJC Scopus subject areas
- Mathematics(all)