• Title of article

    Total dilations II

  • Author/Authors

    Jean-Christophe Bourin، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    11
  • From page
    19
  • To page
    29
  • Abstract
    (1) Given operators A>0 and B>0 on a space , the following statements are equivalent: (i) A B; (ii) there exists an operator Z>0 on a space such that and ; (iii) there exists an operator Z>0 on a space such that and . (2) For p=−1,2,3 we show that the condition 00 on such that and . Several related results are proved and open problems are considered.
  • Keywords
    Compression , Dilation , Positive operators , Operator convex functions
  • Journal title
    Linear Algebra and its Applications
  • Serial Year
    2003
  • Journal title
    Linear Algebra and its Applications
  • Record number

    824091