Functions with a Unique Mean Value and Amenability

DOI10.2307/2160275zbMath0815.43001OpenAlexW4249151801MaRDI QIDQ4306014

Yuji Takahashi

Publication date: 29 June 1995

Full work available at URL: https://doi.org/10.2307/2160275

zbMATH Keywords

locally compact groupleft invariant meanamenable locally compact groupweak containment property

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

• Continuity of translation invariant linear functionals on \(C_ 0(G)\) for certain locally compact groups G
• Some remarks on invariant means
• Functions with a unique mean value
• Translation-Invariant Linear Forms on L p (G)
• For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
• Uniqueness of Invariant Means for Measure-Preserving Transformations
• Amenability of Locally Compact Groups and Subspaces of L ∞ (G)

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