This is an announcement for the paper "Completely co-bounded Schur multipliers" by Gilles Pisier. Abstract: A linear map $u\colon \ E\to F$ between operator spaces is called completely co-bounded if it is completely bounded as a map from $E$ to the opposite of $F$. We give several simple results about completely co-bounded Schur multipliers on $B(\ell_2)$ and the Schatten class $S_p$. We also consider Herz-Schur multipliers on groups. Archive classification: math.FA math.OA Submitted from: pisier@math.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2108 or http://arXiv.org/abs/1103.2108