Hypergroups of compact type

We consider commutative hypergroups with translation operators which are compact on L 2 resp. L 1 . It will be shown that such hypergroups are necessarily discrete and that in the case of compact translations on L 1 the support of the Plancherel measure coincides with the set of all characters and the hypergroup must be symmetric. Furthermore we will show that a certain type of Reiterʹs condition is fulfilled.