Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Complemented ideals in the Fourier algebra and the Radon Nikodým property

Author: Brian Forrest
Journal: Trans. Amer. Math. Soc. 333 (1992), 689-700
MSC: Primary 43A07; Secondary 43A15, 46J99
MathSciNet review: 1112546
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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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Keywords: Fourier algebra, complemented ideals, coset ring, projection, Radon Nikodym property
Article copyright: © Copyright 1992 American Mathematical Society