Scholarlink

<p>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<i>.</i> 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.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Remarks on Weak Amenability of Hypergroups

  • 期刊论文

  • 发表日期：

    2025年10月1日

查看全文
  • Mahmood Alaghmandan

摘要

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.