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# Journal of Operator Theory

Volume 40, Issue 2, Fall 1998  pp. 323-337.

Weakly compactly generated Banach algebras associated to locally compact groups

Authors E. Kaniuth (1), A.T. Lau (2), and G. Schlichting (3)
Summary:  Let $G$ be a locally compact group, and let $X$ be any one of the Banach algebras $C^*(G)$, $C_0(G)$, $B(G)$ or $A(G)$. We characterize the property that $X$, as a Banach space, is weakly compactly generated in terms of conditions on $G$ and its dual space.