Dani, S. G. (1985) A note on invariant finitely additive measures Proceedings of the American Mathematical Society, 93 (1). pp. 67-72. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1985-093-01/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-1985-0766529-3
Abstract
We show that under certain general conditions any finitely additive measure which is defined for all subsets of a set X and is invariant under the action of a group G acting on X is concentrated on a G-invariant subset Y on which the G-action factors to that of an amenable group. The result is then applied to prove a conjecture of S. Wagon about finitely additive measures on spheres.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Invariant Finitely Additive Measures; Amenable Group |
| ID Code: | 74506 |
| Deposited On: | 16 Dec 2011 09:24 |
| Last Modified: | 18 May 2016 18:53 |
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