• Title of article

    Maps on matrix algebras preserving idempotents

  • Author/Authors

    Gregor Dolinar، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    14
  • From page
    287
  • To page
    300
  • Abstract
    Let Mn be the algebra of all n×n complex matrices and Pn the set of all idempotents in Mn. Suppose φ:Mn→Mn is a surjective map satisfying A−λB Pn if and only if φ(A)−λφ(B) Pn, A,B Mn, . Then either φ is of the form φ(A)=TAT−1, A Mn, or φ is of the form φ(A)=TAtT−1, A Mn, where T Mn is a nonsingular matrix.
  • Keywords
    Nonlinear preserver problem , Idempotent
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2003
  • Journal title
    Linear Algebra and its Applications
  • Record number

    824043