Topological Invariant Means on dual Space of Multiplier algebra and weakly compact Multiplier on Herz-algebra

Abstract

In this paper we investigate the compact and weakly compact multipliers of the Herz-algebras Ap(G). Let Bp(G) be the space of pointwise multipliers of Ap(G). We show that there is a topological invariant mean on B*p (G). Furthermore, we show that if B*p(G) is separable, then G is a discrete group.

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