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Zero divisors and L^p(G), II

Peter A. Linnell·Michael J. Puls
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Abstract

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 $0 \ne α\in CG$ 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.

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Peter A. Linnell, Michael J. Puls. 2000-03-28. Zero divisors and L^p(G), II. https://arxiv.org/abs/math/0003191

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