Lebesgue-Fourier algebra of a hypergroup

2011/11/25 by Mahmood Alaghmandan, Rasoul Nasr-Isfahani, Alaghmandan, Mahmood +4
Mathematics · #43A22 #43A62 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:43A22 #msc:43A62

paper · pdf · doi:10.48550/arxiv.1111.5925

arxiv created 2011/11/25 · openalex publication_date 2011/11/25 · arxiv updated 2011/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathcal L A(H) be the Lebesgue-Fourier space of a hypergroup H considered as a Banach space on H. In addition \mathcal LA(H) is a Banach algebra with the multiplication inherited from L¹(H). Moreover If H is a regular Fourier hypergroup, \mathcal LA(H) is a Banach algebra with pointwise multiplication. We study the amenability and character amenability of these two Banach algebras.

Citations

• On the Amenability of Compact and Discrete Hypergroup Algebras

Related

• Multipliers over Fourier algebras of ultraspherical hypergroups
• Amenability notions of hypergroups and some applications to locally compact groups
• Remarks on weak amenability of hypergroups
• p-Fourier algebras on compact groups
• Geometric Properties of some Banach Algebras related to the Fourier algebra on Locally Compact Groups