• DocumentCode
    3112756
  • Title

    Studies on the positive operator solutions to a class of operator equation

  • Author

    Yang, Kaifan

  • Author_Institution
    Dept. of Math., Shaanxi Univ. of Technol., Hanzhong, China
  • fYear
    2011
  • fDate
    26-28 March 2011
  • Firstpage
    238
  • Lastpage
    239
  • Abstract
    In infinite dimensional Hilbert space,the positive operator solutions to the operator equation X + A* X-t A = I(0 <; t <; 1) are studied. Some necessary conditions and sufficient conditions for the existence of positive operator solutions to the equation are given. Also, the rang of the positive operator solutions is established.
  • Keywords
    Hilbert spaces; functional analysis; infinite dimensional Hilbert space; operator equation; positive operator solutions; Artificial intelligence; Equations;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Technology (ICIST), 2011 International Conference on
  • Conference_Location
    Nanjing
  • Print_ISBN
    978-1-4244-9440-8
  • Type

    conf

  • DOI
    10.1109/ICIST.2011.5765244
  • Filename
    5765244