• Title of article

    Diagonalizing matrices over AW*-algebras

  • Author/Authors

    Chris Heunen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2013
  • Pages
    26
  • From page
    1873
  • To page
    1898
  • Abstract
    Every commuting set of normal matrices with entries in an AW*-algebra can be simultaneously diagonalized. To establish this, a dimension theory for properly infinite projections in AW*-algebras is developed. As a consequence, passing to matrix rings is a functor on the category of AW*-algebras. © 2013 Elsevier Inc. All rights reserved.
  • Keywords
    Diagonalization , AW*-algebra , matrix , Properly infinite
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2013
  • Journal title
    Journal of Functional Analysis
  • Record number

    840968