Arens Regularity And The Topological Centers Of Module Actions

2010/03/17 by Kazem Haghnejad Azar, Azar, Kazem Haghnejad, Abdolhamid Riazi +1
Mathematics · #46L06 #46L07 #46L10 #47L25 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46L06 #msc:46L07 #msc:46L10 #msc:47L25

paper · pdf · doi:10.48550/arxiv.1003.3382

arxiv created 2010/03/17 · openalex publication_date 2010/03/17 · arxiv updated 2010/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The Topological Centers Of Module Actions
• The Topological Centers Of Module Actions
• The topological centers and factorization properties of module actions and ∗-involution algebras
• Arens regularity of module actions and weak amenability of Banach algebras
• Topological centers of module actions and cohomological groups of Banach Algebras