Beurling algebras and uniform norms

Bhatt, S. J. ; Dedania, H. V. (2004) Beurling algebras and uniform norms Studia Mathematica, 160 (2). pp. 179-183. ISSN 0039-3223

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Official URL: http://journals.impan.gov.pl/sm/Inf/160-2-5.html

Related URL: http://dx.doi.org/10.4064/sm160-2-5

Abstract

Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L1 (G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L1(G ,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.

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