R. Nasr-Isfahani, "Fixed point characterization of left amenable Lau algebras", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 715097, 6 pages, 2004. https://doi.org/10.1155/S0161171204310446
Fixed point characterization of left amenable Lau algebras
The present paper deals with the concept of left amenability for a wide range of Banach algebras known as Lau algebras. It gives a fixed point property characterizing left amenable Lau algebras in terms of left Banach -modules. It also offers an application of this result to some Lau algebras related to a locally compact group , such as the Eymard-Fourier algebra , the Fourier-Stieltjes algebra , the group algebra , and the measure algebra . In particular, it presents some equivalent statements which characterize amenability of locally compact groups.
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