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

2016/01/17 by Headar Ghaeid Amini, Amini, Headar Ghaeid, Ali Rejali +1
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #math.FA

paper · pdf · doi:10.48550/arxiv.1601.04282

arxiv created 2016/01/17 · openalex publication_date 2016/01/17 · arxiv updated 2016/01/19 · openalex created_date 2022/09/16 · openalex updated_date 2026/07/28

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.

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