Compactness of a Locally Compact Group <i>G</i> and Geometric Properties of <i>A<sub>p</sub>(G)</i>
Compactness of a Locally Compact Group <i>G</i> and Geometric Properties of <i>A<sub>p</sub>(G)</i>
Abstract Let G be a locally compact topological group. A number of characterizations are given of the class of compact groups in terms of the geometric properties such as Radon-Nikodym property, Dunford-Pettis property and Schur property of A p (G), and the properties of the multiplication operator on PF p …