The nonexistence of universal invariant measures
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- by C. Ryll-Nardzewski and R. Telgársky PDF
- Proc. Amer. Math. Soc. 69 (1978), 240-242 Request permission
Abstract:
It is shown that for arbitrary nontrivial $\sigma$-finite measure defined on all subsets of a group there are at most countably many left translations of that measure that are mutually equivalent in the sense of the absolute continuity.References
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- Paul Erdős and R. Daniel Mauldin, The nonexistence of certain invariant measures, Proc. Amer. Math. Soc. 59 (1976), no. 2, 321–322. MR 412390, DOI 10.1090/S0002-9939-1976-0412390-0
- 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 S. M. Ulam, Zur Masstheorie in der allgemeinen Mengenlehre, Fund. Math. 16 (1930), 141-150.
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 240-242
- MSC: Primary 28A70
- DOI: https://doi.org/10.1090/S0002-9939-1978-0466494-9
- MathSciNet review: 0466494