• Title of article

    Some general techniques on linear preserver problems Original Research Article

  • Author/Authors

    Alexander Guterman، نويسنده , , Chi-Kwong Li، نويسنده , , Peter imageemrl، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    21
  • From page
    61
  • To page
    81
  • Abstract
    Several general techniques on linear preserver problems are described. The first one is based on a transfer principle in Model Theoretic Algebra that allows one to extend linear preserver results on complex matrices to matrices over other algebraically closed fields of characteristic 0. The second one concerns the use of some simple geometric technique to reduce linear preserver problems to standard types so that known results can be applied. The third one is about solving linear preserver problems on more general (operator) algebras by reducing the problems to idempotent preservers. Numerous examples will be given to demonstrate the proposed techniques.
  • Keywords
    Algebraically closed fields , Matrices , Idempotent , Nilpotent , Linear preserver
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2000
  • Journal title
    Linear Algebra and its Applications
  • Record number

    823043