Approximation properties and approximate identities of $A_{p}(G)$
Approximation properties and approximate identities of $A_{p}(G)$
For a locally compact group $G$ and $1 < p < \infty$, let $A_{p}(G)$ be the Figà -Talamanca-Herz algebra. Then the multiplier algebra $MA_{p}(G)$ of $A_{p}(G)$ is a dual space. We say that $A_{p}(G)$ has the approximation property (or simply, AP) in $MA_{p}(G)$ if there is a net $\{ u_{\alpha …