Timeline for Are all of compact support functions of $A(G)$ in its abstract Segal algebras?
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| Aug 17, 2011 at 17:47 | comment | added | Mahmood Alaghmandan | @ Yemon: I could not find any suggestion in Reiter's books for amenable groups. About your second comment: If I can show that a general version of "Wiener-Levy Theorem" is correct for $A(G)$ when $G$ is not abelian, then easily I can follow Reiter's proof. Therefore, I can rewrite the question as this: Is there any extension of "Wiener-Levy Theorem" for other locally compact groups (non-abelian ones)? | |
| Aug 17, 2011 at 10:22 | comment | added | Yemon Choi | My vague recollection is that he proves results along these lines for a very general class of algebras, but perhaps only for symmetric Segal subalgebras. I would suggest checking the early sections of the book more closely, paying attention to the results that are stated for general commutative Banach algebras satisfying certain conditions. The result you want might not be there, but something like it might be | |
| Aug 17, 2011 at 10:17 | comment | added | Yemon Choi | Does Reiter offer any results for amenable groups? | |
| Aug 17, 2011 at 9:55 | history | edited | Mahmood Alaghmandan | CC BY-SA 3.0 |
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| Aug 17, 2011 at 9:48 | history | asked | Mahmood Alaghmandan | CC BY-SA 3.0 |