The Topological Centers Of Module Actions

2010/04/14 by Kazem Haghnejad Azar, Azar, Kazem Haghnejad
Mathematics · #46L06 #46L07 #46L10 #47L25 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46L06 #msc:46L07 #msc:46L10 #msc:47L25

paper · pdf · doi:10.48550/arxiv.1004.2386

15 page

arxiv created 2010/04/14 · arxiv updated 2010/04/15

Abstract

In this article, for Banach left and right module actions, we will extend some propositions from Lau and Ulger into general situations and we establish the relationships between topological centers of module actions. We also introduce the new concepts as Lw^*w-property and Rw^*w-property for Banach A-bimodule B and we investigate the relations between them and topological center of module actions. We have some applications in dual groups.

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