Uniform closures of Fourier-Stieltjes algebras

Chou, Ching

doi:10.1090/S0002-9939-1979-0539638-9

Uniform closures of Fourier-Stieltjes algebras
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Proc. Amer. Math. Soc. 77 (1979), 99-102 Request permission

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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