Complemented ideals in the Fourier algebra and the Radon Nikodým property

Forrest, Brian

doi:10.1090/S0002-9947-1992-1112546-1

Complemented ideals in the Fourier algebra and the Radon Nikodým property
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Trans. Amer. Math. Soc. 333 (1992), 689-700 Request permission

Abstract:

Necessary and sufficient conditions are given for an ideal $I(H)$ of the Fourier algebra to be complemented when $H$ is a closed subgroup of $G$ . Using the Radon Nikodym property, an example of a group $G$ with a normal abelian subgroup $H$ for which $I(H)$ is not complemented is presented.

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