Hypergroups with Unique Alpha-Means

Ahmadreza Azimifard

Let $K$ be a commutative hypergroup and $\alpha \in \hat{K}$. We show that $K$ is $\alpha$-amenable with the unique $\alpha$-mean $m_{\alpha }$ if and only if $m_{\alpha }\in L^1(K)\cap L^2(K)$ and $\alpha$ is isolate…