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Some geometric properties on the Fourier and Fourier-Stieltjes algebras of locally compact groups, Arens regularity and related problems

Some geometric properties on the Fourier and Fourier-Stieltjes algebras of locally compact groups, Arens regularity and related problems

Let $G$ be a locally compact topological group and $A(G)\;[B(G)]$ be, respectively, the Fourier and Fourier-Stieltjes algebras of $G$. It is one of the purposes of this paper to investigate the ${\text {RNP}}$ (= Radon-Nikodym property) and some other geometric properties such as weak $RNP$, the Dunford-Pettis property and the …