Fixed point characterization of left amenable Lau algebras

R. Nasr-Isfahani

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-6

Abstract:

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 𝒜 in terms of left Banach 𝒜 -modules. It also offers an application of this result to some Lau algebras related to a locally compact group G , such as the Eymard-Fourier algebra A ( G ) , the Fourier-Stieltjes algebra B ( G ) , the group algebra L 1 ( G ) , and the measure algebra M ( G ) . In particular, it presents some equivalent statements which characterize amenability of locally compact groups.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:715097

DOI: 10.1155/S0161171204310446

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