Abstract
This work deals with various questions concerning Fourier multipliers on L p, Schur multipliers on the Schatten class S p as well as their completely bounded versions when L p and S p are viewed as operator spaces. We use for this aim subsets ofenjoying the Λ(p) cb -property which is much stronger than the usual Λ(p)-property. We start by studying the notion of Λ(p) cb -sets in the general case of an arbitrary discrete group before turning to .
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