Zero Divisors and Lp(G), II

摘要

Let G be a discrete group, let p ≧ 1,and let Lp(G) denote theBanach space {∑g∈ G ag g| ∑g∈ G |ag|p ∞}. The following problem willbe studied: Given 0 ≠ α ∈ CG and0 ≠ β ∈ Lp(G), is α * β ≠ 0? We willconcentrate on the case G is a free abelian orfree group.