2019-06-04
Failure of the trilinear operator space Grothendieck theorem
Publication
Publication
Discrete Analysis Issue 8
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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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, (8). doi:10.19086/da.8805
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