Kannan, V. ; Raju, S. Radhakrishneswara (1980) The nonexistence of invariant universal measures of semigroups Proceedings of the American Mathematical Society, 78 (4). pp. 482-484. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1980-078-04/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-1980-0556617-4
Abstract
We prove that if S is an uncountable subsemigroup of a group, then every (left or right)-translation invariant σ-finite measure defined on all subsets of S must be trivial. This answers a question posed by Ryll-Nardzewski and Telgarsky.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Translation Invariant Measure; Semiregular Measure; σ-finite Measure |
| ID Code: | 15563 |
| Deposited On: | 13 Nov 2010 09:27 |
| Last Modified: | 17 May 2016 00:26 |
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