A Class of Distal Functions on Semitopological Semigroups
| dc.creator | Jabbari, A. | |
| dc.creator | Vishki, H. R. E. | |
| dc.date | 2009-02-13 | |
| dc.date.accessioned | 2026-07-07T12:41:38Z | |
| dc.date.available | 2026-07-07T12:41:38Z | |
| dc.description | The norm closure of the algebra generated by the set $\{n\mapsto λ^{n^k}:$ $λ\in{\mathbb {T}}$ and $k\in{\mathbb{N}}\}$ of functions on $({\mathbb {Z}}, +)$ was studied in \cite{S} (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, this algebra is generalized for a general semitopological semigroup and, among other things, it is shown that the elements of the involved algebra are distal. In particular, we examine this algebra for $({\mathbb {Z}}, +)$ and (more generally) for the discrete (additive) group of any countable ring. Finally, our results are treated for a bicyclic semigroup. | |
| dc.description | To appear in Methods Funct. Anal. Topology | |
| dc.identifier | https://arxiv.org/abs/0902.2358 | |
| dc.identifier | http://arxiv.org/abs/0902.2358 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219841 | |
| dc.subject | Functional Analysis | |
| dc.subject | 54H20; 54C35; 43A60 | |
| dc.title | A Class of Distal Functions on Semitopological Semigroups | |
| dc.type | text |