Arens products for some convolution algebras of measures

2025/12/05 by Viktor Losert, Losert, Viktor · 1 citation
Mathematics · #35L81 #42B25 #43A10 (Primary) 34B24 #43A62 (Secondary) #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2512.05708

openalex publication_date 2025/12/05 · openalex created_date 2025/12/09 · openalex updated_date 2026/07/28

Abstract

We consider the measure algebra of a Chébli- Trimèche hypergroup (in particular, double coset spaces of classical Lie groups) and study the corresponding Arens products on its second dual. The behaviour turns out to be different to the group case investigated in [LNPS]. For this, we study more closely properties of the multiplication and generalized translation in a Chébli- Trimèche hypergroup and the asymptotic behaviour.

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• Arens Products and Asymptotic Structures on Chébli-Trimèche Hypergroups under Low Regularity Conditions

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