Herz-Schur multipliers and weakly almost periodic functions on locally compact groups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Herz-Schur multipliers and weakly almost periodic functions on locally compact groups

Authors:	Guangwu Xu

Affiliation:	Department of Mathematics, State University of New York at Buffalo, Buffalo, New York 14214-3093

Abstract:	For a locally compact group and , let $A_{p}(G)$ be the Herz-Figà-Talamanca algebra and $B_{p}(G)$ the Herz-Schur multipliers of , and $MA_{p}(G)$ the multipliers of $A_{p}(G)$ . Let be the algebra of continuous weakly almost periodic functions on . In this paper, we show that (1), if is a noncompact nilpotent group or a noncompact [IN]-group, then $W(G)/B_{p}(G)^{-}$ contains a linear isometric copy of $l^{infty }({mathbb {N}})$ ; (2), for a noncommutative free group $F, B_{p}(F)$ is a proper subset of ${MA_{p}(F)cap {W(F)}}$ .

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