On a Geometric Property of the Set of Invariant Means on a Group

DOI10.2307/2038270zbMath0249.43005OpenAlexW4242674771MaRDI QIDQ5662894

Ching Chou

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2038270

Mathematics Subject Classification ID

Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Sums equal to products in \(\beta{\mathbb N}\) ⋮ Action of amenable groups and uniqueness of invariant means ⋮ The Exposed Points of the Set of Invariant Means ⋮ The ideal structure of the Stone-Čech compactification of a group ⋮ When is an invariant mean the limit of a Følner net? ⋮ The number of minimal right ideals of $\beta G$ ⋮ Strongly central sets and sets of polynomial returns mod 1

Cites Work

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• Fixed-point theorems for compact convex sets
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• The Set of all Generalized Limits of Bounded Sequences
• Folner's Conditions for Amenable Semi-Groups.
• On the Size of the Set of Left Invariant Means on a Semigroup
• On Topologically Invariant Means on a Locally Compact Group
• On a Conjecture of E. Granirer Concerning the Range of an Invariant Mean
• Minimal sets and Ergodic measures in 𝛽𝑁-𝑁
• A general ergodic theorem