A factorization model for the generalized Friedrichs extension in a Pontryagin space

Vladimir Derkach*, Seppo Hassi, Henk de Snoo

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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    Abstract

    An operator model for the generalized Friedrichs extension in the Pontryagin space setting is presented. The model is based on a factorization of the associated Weyl function (or Q-function) and it carries the information on the asymptotic behavior of the Weyl function at z = infinity.

    Original languageEnglish
    Title of host publicationOperator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
    EditorsKH Forster, P Jonas, H Langer
    Place of PublicationBASEL
    PublisherBirkhauser
    Pages117-133
    Number of pages17
    ISBN (Print)3-7643-7452-7
    Publication statusPublished - 2006
    Event3rd Workshop on Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems - , Germany
    Duration: 12-Dec-200314-Dec-2003

    Publication series

    NameOPERATOR THEORY : ADVANCES AND APPLICATIONS
    PublisherBIRKHAUSER VERLAG AG
    Volume162

    Other

    Other3rd Workshop on Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems
    Country/TerritoryGermany
    Period12/12/200314/12/2003

    Keywords

    • generalized Nevanlinna function
    • Pontryagin space
    • symmetric operator
    • selfadjoint extension
    • generalized Friedrichs extension
    • operator model
    • factorization
    • NEVANLINNA FUNCTIONS
    • OPERATORS
    • PERTURBATIONS
    • IIX

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