Abstract
Suppose X is an infinite-dimensional operator space and n is a positive integer. We prove that for every C > 0 there exists an operator space X̃ such that the formal identity map id: X → X̃T is a complete isomorphism, I M n ⊗ id is an isometry, and d cb(X,X̃) > C. This provides a non-commutative counterpart to a recent result of W. Johnson and E. Odell.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3943-3948 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 135 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2007 |
| Externally published | Yes |
Keywords
- C.B. distance
- Complete isomorphism
- Exact operator space
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics