• Title of article

    Generators of von Neumann algebras associated with spectral measures

  • Author/Authors

    Smirnov، نويسنده , , A.G.، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2013
  • Pages
    7
  • From page
    501
  • To page
    507
  • Abstract
    Let P E be the set of all values of a spectral measure E and A ( P E ) be the smallest von Neumann algebra containing P E . We give a simple description of all sets of generators of A ( P E ) in terms of the integrals with respect to E . The treatment covers not only the case of generators belonging to A ( P E ) , but also the case of (possibly unbounded) generators affiliated with this algebra.
  • Keywords
    Spectral measure , von Neumann algebra
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2013
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1563243