Abstract
In this paper among many other things we prove that the topological left
amenability and left amenability of a weighted hypergroup (K, ?) are equivalent. For
a normal subgroup H of K, we define a weight function ?? on KIH and obtain
connection between left amenability of (K, ?) and (K|H, ??). Let H be a compact
subhypergroup of K. We define the weight function on K||H and obtain connection between left amenability of (K, ?) and (KIIH,??).
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