On the Topological Centre Problem for Weighted Convolution Algebras

Details On the Topological Centre Problem for Weighted Convolution Algebras On the Topological Centre Problem for Weighted Convolution Algebras

2002-01-10

arxiv.org/abs/math/0201081v1

Mathematics

Functional Analysis

6 pages

Scientific paper

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 L_1(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_\infty(G,1/w)^*-module L_\infty(G,1/w).

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