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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Radon measures on groups


Author: Chandra Gowrisankaran
Journal: Proc. Amer. Math. Soc. 25 (1970), 381-384
MSC: Primary 22.10; Secondary 28.00
MathSciNet review: 0255724
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Abstract: Let $ G$ be a Hausdorff topological group with a nontrivial mobile real valued Radon measure. Then $ G$ is locally compact. In particular if there is a nontrivial translation invariant Radon measure on $ G$, then $ G$ is locally compact.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0255724-7
PII: S 0002-9939(1970)0255724-7
Article copyright: © Copyright 1970 American Mathematical Society