Fixed point characterization of left amenable Lau algebras
| Autor: | R. Nasr-Isfahani |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 62, Pp 3333-3338 (2004) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171204310446 |
| Popis: | 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 L1(G), and the measure algebra M(G). In particular, it presents some equivalent statements which characterize amenability of locally compact groups. |
| Databáze: | Directory of Open Access Journals |
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