Compactness of a Locally Compact Group G and Geometric Properties of Ap(G)

Miao, Tianxuan

Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1273-1285

Résumé

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.

Détail

DOI : 10.4153/CJM-1996-067-0

Mots-clés : 43A07, Locally compact groups, amenable groups, Herz algebra, Radon-Nikodym property, Dunford-Pettis property, Schur property

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