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Amenability notions of hypergroups and some applications to locally compact groups

Mahmood Alaghmandan (Institutionen för matematiska vetenskaper, Analys och sannolikhetsteori)
Mathematische Nachrichten (0025-584X). Vol. 290 (2017), 14-15, p. 2088-2099.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Hypergroups, Fourier algebra, amenability, compact groups, finite conjugacy groups



Denna post skapades 2017-10-27.
CPL Pubid: 252807

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, Analys och sannolikhetsteoriInstitutionen för matematiska vetenskaper, Analys och sannolikhetsteori (GU)

Ämnesområden

Matematik

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