Amenability notions of hypergroups and some applications to locally compact groups

• Different notions of amenability on hypergroups and their relations are studied. Developing Leptin's theorem for discrete hypergroups, we characterize the existence of a bounded approximate identity for hypergroup Fourier algebras. We study the Leptin condition for discrete hypergroups derived from the representation theory of some classes of compact groups. Studying amenability of the hypergroup algebras for discrete commutative hypergroups, we obtain some results on amenability properties of some central Banach algebras on compact and discrete groups.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Hypergroups

Fourier algebra

amenability

compact groups

finite conjugacy groups

discrete quantum groups

polynomial hypergroups

weak amenability

fourier algebra

duals

Mathematics

amenability

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