2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58921Let G be a discrete group, let $p \ge 1$, and let $L^p(G)$ denote the Banach space $\{\sum_{g\in G} a_g g \mid \sum_{g\in G} |a_g|^p < \infty\}$. The following problem will be studied: given $0 \ne α\in CG$ and $0 \ne β\in L^p(G)$, is $α* β\ne 0$? We will concentrate on the case G is a free abelian or free group.9 pages, submittedFunctional Analysis43A15text