The amenability constant of the Fourier algebra
| dc.creator | Runde, Volker | |
| dc.date | 2004-09-23 | |
| dc.date | 2005-01-06 | |
| dc.date.accessioned | 2026-07-07T06:27:07Z | |
| dc.date.available | 2026-07-07T06:27:07Z | |
| dc.description | For a locally compact group $G$, let $A(G)$ denote its Fourier algebra and $\hat{G}$ its dual object, i.e. the collection of equivalence classes of unitary represenations of $G$. We show that the amenability constant of $A(G)$ is less than or equal to $\sup \{°(π) : π\in \hat{G} \}$ and that it is equal to one if and only if $G$ is abelian. | |
| dc.description | LaTeX2e; 11 pages; some more minor revisions | |
| dc.identifier | https://arxiv.org/abs/math/0409454 | |
| dc.identifier | http://arxiv.org/abs/math/0409454 | |
| dc.identifier | Proc. Amer. Math. Soc. 134 (2006), 1473-1481 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97325 | |
| dc.subject | Functional Analysis | |
| dc.subject | Primary 46H20; Secondary 20B99, 22D05, 22D10, 43A40, 46J10, 46J40, 46L07, 47L25, 47L50 | |
| dc.title | The amenability constant of the Fourier algebra | |
| dc.type | text |