Geometric and Topological Properties of Certain w* Compact Convex sets which Arise from the Study of Invariant Means

DOI10.4153/CJM-1985-009-9zbMath0584.46033MaRDI QIDQ3709303

Edmond E. Granirer

Publication date: 1985

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gelfand space\(w^*G_{\delta }\)-sequential propertycharacterize amenability for countable groupsCountable left-amenable semigroupsergodic action of a group of measure preserving mapsinvariant means for countable amenable semigroups of measure preserving transformations acting ergodically on a nonatomic probability spaceweak RNP for convex subsets of Banach spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Vector-valued set functions, measures and integrals (28B05) Groups and semigroups of linear operators (47D03) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Probability theory on linear topological spaces (60B11) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (2)

On amenable groups of automorphisms on von Neumann algebras ⋮ The Exposed Points of the Set of Invariant Means

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