Characterizations of Riesz sets
DOI:
https://doi.org/10.7146/math.scand.a-15171Abstract
Let G be a compact abelian group, M(G) its measure algebra and L1(G) its group algebra. For a subset E of the dual group ˆG, let ME(G)={μ∈M(G):ˆμ=0 on ˆG∖E} and L1E(G)={a∈L1(G):ˆa=0 on ˆG∖E}. The set E is said to be a Riesz set if ME(G)=L1E(G). In this paper we present several characterizations of the Riesz sets in terms of Arens multiplication and in terms of the properties of the Gelfand transform Γ:L1E(G)→c0(E).Downloads
Published
2011-06-01
How to Cite
Ülger, A. (2011). Characterizations of Riesz sets. MATHEMATICA SCANDINAVICA, 108(2), 264–278. https://doi.org/10.7146/math.scand.a-15171
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