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

 

Uniform closures of Fourier-Stieltjes algebras


Author: Ching Chou
Journal: Proc. Amer. Math. Soc. 77 (1979), 99-102
MSC: Primary 43A30
MathSciNet review: 539638
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Abstract: Let H be a closed normal subgroup of a locally compact group G. Assume that f is a continuous function on G such that it is constant on the cosets of H in G and it can be approximated uniformly by coefficient functions of unitary representations of G. We show that f can be approximated uniformly by coefficient functions of representations of G which are lifted from unitary representations of G/H. For abelian G, our theorem is a conjecture of R. B. Burckel.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0539638-9
PII: S 0002-9939(1979)0539638-9
Keywords: Locally compact group, Fourier-Stieltjes algebra, uniform limit, invariant mean, weakly almost periodic function
Article copyright: © Copyright 1979 American Mathematical Society