Complemented ideals in the Fourier algebra of a locally compact group

Wood, Peter

doi:10.1090/S0002-9939-99-04989-8

Complemented ideals in the Fourier algebra of a locally compact group
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by Peter J. Wood PDF

Proc. Amer. Math. Soc. 128 (2000), 445-451 Request permission

Abstract:

In this paper we provide a necessary condition for a closed ideal in the Fourier algebra of a locally compact amenable group to be completely complemented. The classification of completely complemented ideals is completed in the case of an amenable discrete group. We also investigate the ideals possessing a bounded approximate identity.

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