Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.)

DOI10.1016/0022-1236(79)90037-5zbMath0431.43001OpenAlexW2085952022MaRDI QIDQ1138181

Michel Talagrand

Publication date: 1979

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90037-5

zbMATH Keywords

extreme pointinvariant means

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Locally compact groups and their algebras (22D99) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (12)

Unnamed Item ⋮ Invariant Banach limits and their convex subsets ⋮ Extreme points of the set of dilation-invariant Banach limits ⋮ Order and geometric properties of the set of Banach limits ⋮ Geometry of Banach limits and their applications ⋮ Invariant Means on an Ideal ⋮ The Exposed Points of the Set of Invariant Means ⋮ A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means ⋮ When is an invariant mean the limit of a Følner net? ⋮ Banach limits and a measure on the set of 0-1-sequences ⋮ Choquet simplexes whose set of extreme points is K-analytic ⋮ Order properties of the set of Banach limits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homomorphisms and translations in L\(^\infty\)(G)
• Invariant means and invariant ideals in \(L_\infty (G)\) for a locally compact group \(G\)
• Minimal sets and ergodic measures for \(\beta N/N\)
• Covering properties and Følner conditions for locally compact groups
• A generalization of a theorem of Gleason
• The Set of all Generalized Limits of Bounded Sequences
• Criteria for Compactness and for Discreteness of Locally Compact Amenable Groups
• Extreme Invariant Positive Operators
• On Topologically Invariant Means on a Locally Compact Group
• Invariant means on $L^{∞}$
• Exposed points of convex sets and weak sequential convergence

This page was built for publication: Géométrie des simplexes de moyennes invariantes. (Geometry of simplexes of invariant mean.)