α-Amenable Hypergroups

Details α-Amenable Hypergroups α-Amenable Hypergroups

2009-02-25

arxiv.org/abs/0902.4479v2

Mathematics

Functional Analysis

Scientific paper

Let $K$ denote a locally compact commutative hypergroup, $L^1(K)$ the hypergroup algebra, and $\alpha$ a real-valued hermitian character of $K$. We show that $K$ is $\alpha$-amenable if and only if $L^1(K)$ is $\alpha$-left amenable. We also consider the $\alpha$-amenability of hypergroup joins and polynomial hypergroups in several variables as well as a single variable.

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