4 citations · 5 across the 5 of their papers we have counts for
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A similarity degree characterization of nuclear -algebras
Gilles Pisier
We show that a -algebra is nuclear iff there is a constant and such that, for any bounded homomorphism , there is an isomorphism $ξ\colon H\t…
Are Unitarizable Groups Amenable?
Gilles Pisier
We give a new formulation of some of our recent results on the following problem: if all uniformly bounded representations on a discrete group are similar to unitary ones, is t…
Completely bounded maps into certain Hilbertian operator spaces
Gilles Pisier
We prove a factorization of completely bounded maps from a -algebra (or an exact operator space ) to equipped with the operator space structure of $(C…
Non-commutative Khintchine type inequalities associated with free groups
Javier Parcet, Gilles Pisier
Let $\Free_n$ denote the free group with generators . Let stand for the left regular representation of $\Free_n$ and let be the standard trace assoc…
The Operator Hilbert Space OH and TYPE III von Neumann Algebras
Gilles Pisier
We prove that the operator Hilbert space OH does not embed completely isomorphically into the predual of a semi-finite von Neumann algebra. This complements Junge's recent result t…
Similarity problems and length
Gilles Pisier
This is a survey of the author's recent results on the Kadison and Halmos similarity problems and the closely connected notion of ``length'' of an operator algebra.