Work

Remarks on weak amenability of hypergroups

Year: 2025

Type: article

Abstract: UDC 512.5 We study the existence of multiplier (completely) bounded approximate identities for the Fourier algebras of some classes of hypergroups. In particular, it is shown that, the hypergroups from 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 about Jacobi hypergroups. We also characterize the existence of bounded approximate identities for the hypergroup Fourier algebras of spherical hypergroups.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v77i5.7943

Author: Mahmood Alaghmandan

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412048295

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