English

On the alpha-Amenability of Hypergroups

Functional Analysis 2008-01-17 v3

Abstract

Let UC(K)UC(K) denote the Banach space of all bounded uniformly continuous functions on a hypergroup KK. The main results of this article concern on the α\alpha-amenability of UC(K)UC(K) and quotients and products of hypergroups. It is also shown that a Sturm-Liouville hypergroup with a positive index is α\alpha-amenable if and only if α=1\alpha=1.

Keywords

Cite

@article{arxiv.0704.2976,
  title  = {On the alpha-Amenability of Hypergroups},
  author = {Ahmadreza Azimifard},
  journal= {arXiv preprint arXiv:0704.2976},
  year   = {2008}
}
R2 v1 2026-06-21T08:21:09.049Z