Can I read Failure of the trilinear operator space Grothendieck theorem on EtoBox?

Failure of the trilinear operator space Grothendieck theorem by Briët, Jop; Palazuelos, Carlos is a scholarly article available to read on EtoBox.

What is Failure of the trilinear operator space Grothendieck theorem about?

We give a counterexample to a trilinear version of the operator space Grothendieck theorem. In particular, we show that for trilinear forms on $\ell_\infty$, the ratio of the symmetrized completely bounded norm and the jointly completely bounded norm is in general unbounded, answering a question of Pisier. The proof is based on a non-commutative version of the generalized von Neumann inequality from additive combinatorics.

Author

Briët, Jop; Palazuelos, Carlos

Published

2018

Language

EN