The spectral radius formula for Fourier-Stieltjes algebras
Abstract
In this short note we first extend the validity of the spectral radius formula obtained in ag to Fourier--Stieltjes algebras. The second part is devoted to showing that for the measure algebra on any locally compact non-discrete Abelian group there are no non-trivial constraints between three quantities: the norm, the spectral radius and the supremum of the Fourier--Stieltjes transform even if we restrict our attention to measures with all convolution powers singular with respect to Haar measure.
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