IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v290y2017i17-18p2977-2991.html
   My bibliography  Save this article

Essential and continuous spectrum of symmetric difference equations

Author

Listed:
  • Fredrick Oluoch Nyamwala

Abstract

Essential and continuous spectrum of symmetric difference equations have been investigated. It has been shown that the deficiency indices and the existence of these components of the spectrum are determined by the growth conditions of the coefficients. In particular, the deficiency indices are superimposition of those clusters determined by the coefficient growth. Finally, we have proved the neccessary and sufficient conditions for the existence of essential spectrum of selfadjoint subspace extensions using subspace theory and asymtotic summation.

Suggested Citation

  • Fredrick Oluoch Nyamwala, 2017. "Essential and continuous spectrum of symmetric difference equations," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2977-2991, December.
  • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2977-2991
    DOI: 10.1002/mana.201600183
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.201600183
    Download Restriction: no

    File URL: https://libkey.io/10.1002/mana.201600183?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:290:y:2017:i:17-18:p:2977-2991. 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.