IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v297y2024i5p1793-1817.html
   My bibliography  Save this article

Kadec–Klee property with respect to the local convergence in measure of Orlicz–Lorentz spaces

Author

Listed:
  • Paweł Foralewski
  • Joanna Kończak

Abstract

In this paper, we find criteria for the Kadec–Klee property with respect to the local convergence in measure in both Orlicz–Lorentz spaces as well as their subspaces of order continuous elements. In the case of Orlicz norm, the presented results are new, whereas in the case of Luxemburg norm, we rely heavily on known results, which we show for the first time as a whole. Finally, we apply the obtained results to Orlicz spaces.

Suggested Citation

  • Paweł Foralewski & Joanna Kończak, 2024. "Kadec–Klee property with respect to the local convergence in measure of Orlicz–Lorentz spaces," Mathematische Nachrichten, Wiley Blackwell, vol. 297(5), pages 1793-1817, May.
  • Handle: RePEc:bla:mathna:v:297:y:2024:i:5:p:1793-1817
    DOI: 10.1002/mana.202300151
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.202300151
    Download Restriction: no

    File URL: https://libkey.io/10.1002/mana.202300151?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:297:y:2024:i:5:p:1793-1817. 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-Blackwell Digital Licensing or Christopher F. Baum (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.