2018-12-23
Failure of the trilinear operator space Grothendieck theorem
Publication
Publication
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.
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| arXiv.org e-Print archive | |
| Quantum and classical data transmission | |
| Organisation | Algorithms and Complexity |
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Briët, J., & Palazuelos, C. (2018). Failure of the trilinear operator space Grothendieck theorem. arXiv.org e-Print archive. |
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