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

Headar Ghaeid Amini; Ali Rejali

paper

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

arXiv:1601.04282

Abstract

In this paper we investigate the compact and weakly compact multipliers of the Herz-algebras $A_{p} (G)$ . Let $B_{p} (G)$ be the space of pointwise multipliers of $A_{p} (G)$ . 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.