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 𝒜 in terms of left Banach 𝒜-modules. It also offers an application of this result to some Lau algebras rel...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204310446 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |