2019-06-04
Failure of the trilinear operator space Grothendieck theorem
Publication
Publication
Discrete Analysis , Volume 2019 p. 8:1- 8:16
We give a counterexample to a trilinear version of the operator space Grothendieck theorem. In particular, we show that for trilinear forms on ℓ∞, the ratio of the symmetrized completely bounded norm and the jointly completely bounded norm is in general unbounded. The proof is based on a non-commutative version of the generalized von Neumann inequality from additive combinatorics.
| Additional Metadata | |
|---|---|
| , , | |
| doi.org/10.19086/da.8805 | |
| Discrete Analysis | |
| Quantum and classical data transmission | |
| Organisation | Algorithms and Complexity |
|
Briët, J., & Palazuelos, C. (2019). Failure of the trilinear operator space Grothendieck theorem. Discrete Analysis, 2019, 8:1–8:16. doi:10.19086/da.8805 |
|
