%0 Journal Article
%T Noncommutative Figa-Talamanca-Herz algebras for Schur multipliers
%A C¨¦dric Arhancet
%J Mathematics
%D 2009
%I arXiv
%R 10.1007/s00020-011-1872-5
%X We introduce a noncommutative analogue of the Fig\'a-Talamanca-Herz algebra $A_p(G)$ on the natural predual of the operator space $\frak{M}_{p,cb}$ of completely bounded Schur multipliers on Schatten space $S_p$. We determine the isometric Schur multipliers and prove that the space $\frak{M}_{p}$ of bounded Schur multipliers on Schatten space $S_p$ is the closure in the weak operator topology of the span of isometric multipliers.
%U http://arxiv.org/abs/0911.4304v6