Weak amenability of Fourier algebras on compact groups
| dc.creator | Forrest, Brian E. | |
| dc.creator | Samei, Ebrahim | |
| dc.creator | Spronk, Nico | |
| dc.date | 2008-08-13 | |
| dc.date.accessioned | 2026-07-07T09:56:30Z | |
| dc.date.available | 2026-07-07T09:56:30Z | |
| dc.description | We give for a compact group G, a full characterisation of when its Fourier algebra A(G) is weakly amenable: when the connected component of the identity G_e is abelian. This condition is also equivalent to the hyper-Tauberian property for A(G), and to having the anti-diagonal D^v={(s,s^{-1}):s is in G} being a set of spectral synthesis for A(GXG). We show the relationship between amenability and weak amenability of A(G), and (operator) amenability and (operator) weak amenability of A_D(G), an algebra defined by the authors in arXiv:0705.4277. We close by extending our results to some classes of non-compact, locally compact groups, including small invariant neighbourhood groups and maximally weakly almost periodic groups. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0808.1858 | |
| dc.identifier | http://arxiv.org/abs/0808.1858 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166998 | |
| dc.subject | Functional Analysis | |
| dc.subject | 43A30, 43A77, 46M20; 47L25, 46J10 | |
| dc.title | Weak amenability of Fourier algebras on compact groups | |
| dc.type | text |