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Ratio properties in locally compact amenable groups

Ratio properties in locally compact amenable groups

Introduction and summary.Let T be a locally compact (Hausdorff) topological group, and let |*| denote a fixed left Haar measure on the Borel sets of T (in the sense of [1, §51]).It is known (see [2]) that the existence of a left invariant mean on L^ÇY) is equivalent to the …