The Exposed Points of the Set of Invariant Means

DOI10.2307/2154820zbMath0860.43002OpenAlexW4235555219MaRDI QIDQ4846121

Tianxuan Miao

Publication date: 21 April 1997

Full work available at URL: https://doi.org/10.2307/2154820

zbMATH Keywords

semigroupsexposed pointslocally compact groupamenable groupinvariant means

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07) Analysis on general topological groups (22A10) Measure algebras on groups, semigroups, etc. (43A10)

Cites Work

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• Geometric and topological properties of certain \(w^ *\) compact convex subsets of double duals of Banach spaces, which arise from the study of invariant means
• Exposed points of left invariant means
• Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.)
• Invariant means and invariant ideals in \(L_\infty (G)\) for a locally compact group \(G\)
• Counterexamples in ergodic theory and number theory
• On finite equivalent invariant measures for semigroups of transformations
• Ergodic Group Actions with Nonunique Invariant Means
• Geometric and Topological Properties of Certain w* Compact Convex sets which Arise from the Study of Invariant Means
• Uniqueness of Invariant Means for Measure-Preserving Transformations
• Criteria for Compactness and for Discreteness of Locally Compact Amenable Groups
• On a Geometric Property of the Set of Invariant Means on a Group
• Exposed points of convex sets and weak sequential convergence

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