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1 results

  • ARENS REGULARITY OF MODULE ACTIONS AND THE SECOND ADJOINT OF A DERIVATION

  • Part of
  • S. MOHAMMADZADEH, H. R. E. VISHKI
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 77 / Issue 3 / June 2008
    Published online by Cambridge University Press:
    01 June 2008, pp. 465-476
    Print publication:
    June 2008
    • Article
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  • In this paper, we give a simple criterion for the Arens regularity of a bilinear mapping on normed spaces, which applies in particular to Banach module actions, and then investigate those conditions under which the second adjoint of a derivation into a dual Banach module is again a derivation. As a consequence of the main result, a simple and direct proof for several older results is also included.