• Corpus ID: 115175413

THE ARENS REGULARITY AND WEAK TOPOLOGICAL CENTER OF MODULE ACTIONS

@article{Azar2010THEAR,
  title={THE ARENS REGULARITY AND WEAK TOPOLOGICAL CENTER OF MODULE ACTIONS},
  author={Kazem Haghnejad Azar},
  journal={arXiv: Functional Analysis},
  year={2010}
}
  • K. Azar
  • Published 17 March 2010
  • Mathematics
  • arXiv: Functional Analysis
Let A be a Banach algebra and A �� be the second dual of it. We define ˜ Z1(A �� ) as a weak topological center of A �� with respect to first Arens product and find some relations between it and the topological center of A �� . We also extend this new definition into the module actions and find relationship between weak topological center of module actions and reflexivity or Arens regu- larity of some Banach algebras, and we investigate some applications of this new definition in the weak… 

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