• DocumentCode
    404120
  • Title

    Inversion of perturbed linear operators that are singular at the origin

  • Author

    Howlett, Phil ; Ejov, Vladimir ; Avrachenkov, Konstantin

  • Author_Institution
    CIAM, South Australia Univ., Australia
  • Volume
    6
  • fYear
    2003
  • fDate
    9-12 Dec. 2003
  • Firstpage
    5628
  • Abstract
    We consider the inversion of perturbed linear operators on Hubert space. Namely, we study linear operators that depend on a small parameter and are singular when the parameter is equal to zero. First we consider the affine dependence on the parameter. We treat subsequently the cases of bounded operators with closed range, bounded operators with non closed range, and densely defined and closed unbounded operators. Then, we extend the results to the cases of polynomial and analytic perturbations.
  • Keywords
    Hilbert spaces; perturbation techniques; polynomials; Hubert space; analytic perturbations; bounded operators; closed unbounded operators; parameter affine dependence; perturbed linear operators; polynomial perturbations; Australia; Hilbert space; Lakes; Linear systems; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7924-1
  • Type

    conf

  • DOI
    10.1109/CDC.2003.1271900
  • Filename
    1271900
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=404120