Remarks on weak amenability of hypergroups

2018/08/11 by Alaghmandan, Mahmood
#43A25 #43A35 #43A40 #43A85 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 43A62 #Secondary 46H20

paper · doi:10.48550/arxiv.1808.03805

Abstract

We study the existence of multiplier (completely) bounded approximate identities for the Fourier algebras of some classes of hypergroups. In particular we show that, a large class of commutative hypergroups are weakly amenable with the Cowling-Haagerup constant 1. As a corollary, we answer an open question of Eymard on Jacobi hypergroups. We also characterize the existence of bounded approximate identities for the hypergroup Fourier algebras of ultraspherical hypergroups.

Related

• Amenability notions of hypergroups and some applications to locally compact groups
• Fourier algebras of hypergroups and central algebras on compact\n (quantum) groups
• Compact and weakly compact multipliers on Fourier algebras of ultraspherical hypergroups
• Lebesgue-Fourier algebra of a hypergroup
• α-Amenable Hypergroups