On the Topological Centre Problem for Weighted Convolution Algebras

2002/01/10 by Matthias Neufang, Neufang, Matthias
Mathematics · #22D15 #43A22 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:22D15 #msc:43A22

paper · pdf · doi:10.48550/arxiv.math/0201081

6 pages

arxiv created 2002/01/10 · openalex publication_date 2002/01/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a locally compact non-compact group. We show that under a very mild assumption on the weight function w, the weighted group algebra L₁(G,w) is strongly Arens irregular in the sense of Dales-Lamb-Lau. To this end, we first derive a general factorization theorem for bounded families in the L_∞(G,1/w)^*-module L_∞(G,1/w).

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