Invariant means for the bounded measurable functions on a non-discrete locally compact group

DOI10.1007/BF01431093zbMath0305.43002MaRDI QIDQ1217295

Joseph Max Rosenblatt

Publication date: 1976

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162823

Mathematics Subject Classification ID

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

Related Items (11)

Unnamed Item ⋮ Function spaces on the unit circle ⋮ Discontinuous Translation Invariant Functionals ⋮ Locally Compact Groups which are Amenable as Discrete Groups ⋮ Uniqueness of Invariant Means for Measure-Preserving Transformations ⋮ Closed convex hull of sets of measurable functions, Riemann measurable functions and measurability of translations ⋮ Counting topologically invariant means on \(L_\infty(G)\) and \(VN(G)\) with ultrafilters ⋮ When is an invariant mean the limit of a Følner net? ⋮ Invariant Means on the Continuous Bounded Functions ⋮ Invariant subspaces of some function spaces on a locally compact group ⋮ The Size of the Set of Left Invariant Means on an Ela Semigroup

Cites Work

• Unnamed Item
• On amenable semigroups with a finite-dimensional set of invariant means. I, II
• Homomorphisms and translations in L\(^\infty\)(G)
• Homomorphisms and translates of bounded functions
• Almost every function is independent
• Applications of the Baire-category method to the problem of independent sets
• The Exact Cardinality of the Set of Invariant Means on a Group
• Criteria for Compactness and for Discreteness of Locally Compact Amenable Groups
• On the Size of the Set of Left Invariant Means on a Semigroup
• On Topologically Invariant Means on a Locally Compact Group
• Invariant means on $L^{∞}$
• Independent sets in topological algebras

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