• Title of article

    Arens Regularity of Module Extensions of Banach Algebras

  • Author/Authors

    Zivari-Kazempour ، A. - Ayatollah Borujerdi University

  • Pages
    7
  • From page
    1
  • To page
    7
  • Abstract
    Let A be a Banach algebra and A be its second dual equipped with the first or second Arens product, X be a Banach A-bimodule and let U=A ⊕ X as a module extensions of Banach algebra. In this paper we study the topological centres of U and show that under certain conditions Arens regularity of A implies that of U.
  • Keywords
    Arens regular , Module action , Topological centres , Bounded bilinear map
  • Journal title
    General Mathematics Notes
  • Serial Year
    2013
  • Journal title
    General Mathematics Notes
  • Record number

    2457509