A Beurling algebra is semisimple: an Elementary proof

Bhatta, S. J. ; Dedania, H. V. (2002) A Beurling algebra is semisimple: an Elementary proof Bulletin of the Australian Mathematical Society, 66 (01). pp. 91-93. ISSN 0004-9727

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Related URL: http://dx.doi.org/10.1017/S0004972700020700

Abstract

The Beurling algebra L1(G,ω)on a locally compact Abelian group G with a measurable weight ω is shown to be semisimple. This gives an elementary proof of a result that is implicit in the work of M.C. White (1991), where the arguments are based on amenable (not necessarily Abelian) groups.

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Deposited On:07 Sep 2011 05:17
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