科研之友
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摘要
We show that for a compact hypergroup K, the hypergroup algebra L-1(K) is amenable as a Banach algebra if the set of hyperdimensions of irreducible representations of K is bounded above. Conversely if L-1(K) is amenable, the set of ratios of the hyperdimension to the dimension of irreducible representations of K is bounded above. These are equivalent for compact commutative hypergroups.
- 出版日期2014-10
