工会制度与顺从性
Syndetic Sets and Amenability
摘要：
证明了如果一个无限的离散半群具有每个右联合集都是左联合集的性质，则该半群有一个左不变平均。证明了无限离散半群上每一个有界函数的双侧平移的弱 *-闭凸包都包含一个常数函数。我们的证明使用Stone-Cech紧化的代数性质。
英文摘要：
We prove that if an infinite, discrete semigroup has the property that every right syndetic set is left syndetic, then the semigroup has a left invariant mean. We prove that the weak*-closed convex hull of the two-sided translates of every bounded function on an infinite discrete semigroup contains a constant function. Our proofs use the algebraic properties of the Stone-Cech compactification.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
