Hypergroups with Unique Alpha-Means
| dc.creator | Azimifard, Ahmadreza | |
| dc.date | 2007-06-25 | |
| dc.date | 2008-01-17 | |
| dc.date.accessioned | 2026-07-07T08:54:43Z | |
| dc.date.available | 2026-07-07T08:54:43Z | |
| dc.description | Let $K$ be a commutative hypergroup and $α\in \hat{K}$. We show that $K$ is $α$-amenable with the unique $α$-mean $m_α$ if and only if $m_α\in L^1(K)\cap L^2(K)$ and $α$ is isolated in $\hat{K}$. In contrast to the case of amenable noncompact locally compact groups, examples of polynomial hypergroups with unique $α$-means ($α\not=1$) are given. Further examples emphasize that the $α$-amenability of hypergroups depends heavily on the asymptotic behavior of Haar measures and characters. | |
| dc.description | 8 pages, keywords: Hypergroups: orthogonal polynomial, of Nevaei classes. $α$-Amenable Hypergroups | |
| dc.identifier | https://arxiv.org/abs/0706.3620 | |
| dc.identifier | http://arxiv.org/abs/0706.3620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146037 | |
| dc.subject | Group Theory | |
| dc.subject | 43A62, 43A07 (Primary); 46H20 (Secondary) | |
| dc.title | Hypergroups with Unique Alpha-Means | |
| dc.type | text |