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math.FA2016
Spectral gap properties of the unitary groups: around Rider's results on non-commutative Sidon sets
Gilles Pisier
We present a proof of Rider's unpublished result that the union of two Sidon sets in the dual of a non-commutative compact group is Sidon, and that randomly Sidon sets are Sidon. M…
math.FA2016
On uniformly bounded orthonormal Sidon systems
Gilles Pisier
In answer to a question raised recently by Bourgain and Lewko, we show, with their paper's terminology, that any uniformly bounded -orthonormal system ( is a vari…