IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v296y2023i9p4169-4191.html
   My bibliography  Save this article

Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint

Author

Listed:
  • Shuo Zhang
  • Huaqing Sun
  • Chen Yang

Abstract

This paper is concerned with Friedrichs extensions for a class of discrete Hamiltonian systems with one singular endpoint. First, Friedrichs extensions of symmetric Hamiltonian systems are characterized by imposing some constraints on each element of domains D(H)$D({H})$ of the maximal relations H. Furthermore, it is proved that the Friedrichs extension of each of a class of non‐symmetric systems is also a restriction of the maximal relation H by using a closed sesquilinear form. Then, the corresponding Friedrichs extensions are characterized. In addition, J$\mathcal {J}$‐self‐adjoint Friedrichs extensions are studied, and two results are given for elements of D(H)$D(H)$, which make the expression of the Friedrichs extension simpler. All results are finally applied to Sturm–Liouville equations with matrix‐valued coefficients.

Suggested Citation

  • Shuo Zhang & Huaqing Sun & Chen Yang, 2023. "Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint," Mathematische Nachrichten, Wiley Blackwell, vol. 296(9), pages 4169-4191, September.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:9:p:4169-4191
    DOI: 10.1002/mana.202100657
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.202100657
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.202100657?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:mathna:v:296:y:2023:i:9:p:4169-4191. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0025-584X .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.