On the Topological Centre Problem for Weighted Convolution Algebras
Functional Analysis
2007-05-23 v1
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 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).
Cite
@article{arxiv.math/0201081,
title = {On the Topological Centre Problem for Weighted Convolution Algebras},
author = {Matthias Neufang},
journal= {arXiv preprint arXiv:math/0201081},
year = {2007}
}
Comments
6 pages