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Characterizations of elements with compact support in the dual spaces of $A_{p}(G)$-modules of $PM_{p}(G)$
For a locally compact group $G$ and $1 < p < \infty$, let $A_{p}(G)$ be the Figà -Talamanca-Herz algebra and let $PM_{p}(G)$ be its dual Banach space. For a Banach $A_{p}(G)$-module $X$ of $PM_{p}(G)$, we denote the norm closure of the subspace of the elements in $X^{*}$ with compact support …