Arens Regularity And The Topological Centers Of Module Actions

Kazem Haghnejad Azar; Abdolhamid Riazi

Arens Regularity And The Topological Centers Of Module Actions

Functional Analysis 2010-03-18 v1

Authors: Kazem Haghnejad Azar , Abdolhamid Riazi

Abstract

In this article, for Banach left and right module actions, we will extend some propositions from Lau and $\ddot{U}lger$ 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.

Keywords

Arens regularity topological centers module actions Banach bimodule dual groups

Cite

@article{arxiv.1003.3382,
  title  = {Arens Regularity And The Topological Centers Of Module Actions},
  author = {Kazem Haghnejad Azar and Abdolhamid Riazi},
  journal= {arXiv preprint arXiv:1003.3382},
  year   = {2010}
}

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