Zero divisors and L^p(G), II

Details Zero divisors and L^p(G), II Zero divisors and L^p(G), II

2000-03-28

arxiv.org/abs/math/0003191v1

Mathematics

Functional Analysis

9 pages, submitted

Scientific paper

Let 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 $0 \ne \alpha \in CG$ and $0 \ne \beta
\in L^p(G)$, is $\alpha * \beta \ne 0$? We will concentrate on the case G is a
free abelian or free group.

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