Amenability and derivations of the Fourier algebra
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- by Brian Forrest
- Proc. Amer. Math. Soc. 104 (1988), 437-442
- DOI: https://doi.org/10.1090/S0002-9939-1988-0931730-5
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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.References
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Bibliographic Information
- © Copyright 1988 American Mathematical Society
- 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