Some functions with a unique invariant mean
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- by Michel Talagrand PDF
- Proc. Amer. Math. Soc. 82 (1981), 253-256 Request permission
Abstract:
In a large class of groups, we construct a function which has a unique invariant mean, but which is not Riemann-measurable.References
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. MR 0251549
- L. A. Rubel and A. L. Shields, Invariant subspaces of $L^{\infty }$ and $H^{\infty }$, J. Reine Angew. Math. 272 (1974), 32–44. MR 370156, DOI 10.1090/S0002-9904-1973-13129-5
Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 82 (1981), 253-256
- MSC: Primary 28C10; Secondary 22A10, 22C05, 43A07
- DOI: https://doi.org/10.1090/S0002-9939-1981-0609661-3
- MathSciNet review: 609661