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Compactness of a Locally Compact Group G and Geometric Properties of Ap(G)
Published online by Cambridge University Press: 20 November 2018
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 Ap(G), and the properties of the multiplication operator on PFp(G). We extend and improve several results of Lau and Ülger [17] to Ap(G) and Bp(G) for arbitrary p.
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- Copyright © Canadian Mathematical Society 1996
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