Arens regularity of weighted convolution algebras that arise from totally ordered semilattices

2024/01/17 by Celorrio, M. Eugenia
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2401.09330

Abstract

We study Arens regularity of weighted semigroup convolution algebras for the specific case of totally ordered semilattices. This paper is a natural continuation of that of Dales and Strauss (2022) [DS22], where they studied the unweighted case. We also study some other properties of these algebras, such as the existence of Banach-algebra preduals.

Related

• Arens regularity of certain weighted semigroup algebras and countability
• Notes on normed algebras, 3
• Orthogonal ℓ₁-sets and extreme non-Arens regularity of preduals of von Neumann algebras
• Arens Products and Asymptotic Structures on Chébli-Trimèche Hypergroups under Low Regularity Conditions
• Weighted Semigroup Algebras as Dual Banach algebras