Abstract

0. Introduction and summary. Let r be a locally compact (Hausdorff) topological group, and let 1*1 denote a fixed left Haar measure on the Borel sets of 1' (in the sense of [1, ?51]). It is known (see [2]) that the existence of a left invariant mean on LP(r) is equivalent to the Folner Condition (FC): To any E > 0 and any compact set Cc r, there corresponds a Borel set V of finite nonzero measure such that

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