All Title Author
Keywords Abstract

Mathematics  2009 

Noncommutative Figa-Talamanca-Herz algebras for Schur multipliers

DOI: 10.1007/s00020-011-1872-5

Full-Text   Cite this paper   Add to My Lib

Abstract:

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.

Full-Text

comments powered by Disqus