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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Amenability and derivations of the Fourier algebra


Author: Brian Forrest
Journal: Proc. Amer. Math. Soc. 104 (1988), 437-442
MSC: Primary 43A07; Secondary 46H25, 46J05
DOI: https://doi.org/10.1090/S0002-9939-1988-0931730-5
MathSciNet review: 931730
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Abstract: It is shown that a locally compact group $ G$ is amenable if and only if every derivation of the Fourier algebra $ A(G)$ into a Banach $ A(G)$-bimodule is continuous. Also given are necessary and sufficient conditions for $ A(G)$ to be weakly amenable.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0931730-5
Keywords: Amenable group, weakly amenable, Fourier algebra, derivation
Article copyright: © Copyright 1988 American Mathematical Society

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