286 citations · 878 across the 61 of their papers we have counts for
7 papers · 2 filters
Random Matrices and Subexponential Operator Spaces
Gilles Pisier
We introduce and study a generalization of the notion of exact operator space that we call subexponential. Using Random Matrices we show that the factorization results of Grothendi…
Examples of non exact 1-subexponential -algebras
Gilles Pisier
This is a complement to our previous paper on the arxiv on quantum expanders and geometry of operator spaces. We show that there is a non-exact -algebra that is 1-subexponenti…
Quantum Expanders and Geometry of Operator Spaces II
Gilles Pisier
In this appendix to our paper with the same title posted on arxiv we give a quick proof of an inequality that can be substituted to Hastings's result, quoted as Lemma 1.9 in our pr…
Quantum Expanders and Geometry of Operator Spaces
Gilles Pisier
We show that there are well separated families of quantum expanders with asymptotically the maximal cardinality allowed by a known upper bound. This has applications to the "growth…
Martingale inequalities and Operator space structures on
Gilles Pisier
We describe a new operator space structure on when is an even integer and compare it with the one introduced in our previous work using complex interpolation. For the new…
Tripartite Bell inequality, random matrices and trilinear forms
Gilles Pisier
In this seminar report, we present in detail the proof of a recent result due to J. Briët and T. Vidick, improving an estimate in a 2008 paper by D. Pérez-Garc\'ıa, M. Wolf, C. Pal…
Strong convergence for reduced free products (Remarks on a result by Paul Skoufranis)
Gilles Pisier
Using an inequality due to Ricard and Xu, we give a different proof of Paul Skoufranis's recent result showing that the strong convergence of possibly non-commutative random variab…