IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v299y2026i5p1062-1084.html

H‐Points and H‐Property of the Orlicz Spaces Endowed With the s‐Norms

Author

Listed:
  • Serap Öztop
  • Badik Hüseyin Uysal

Abstract

In this paper, we investigate the set of H‐points on the unit sphere of the Orlicz spaces over non‐atomic and purely atomic measure spaces. Building upon these arguments, we establish a criteria for the H‐property in Orlicz spaces. In addition, our results yield several consequences related to the geometric properties of the Orlicz spaces, particularly concerning extreme points, strongly extreme points, strictly convex, midpoint locally uniformly convex, denting points and G‐property. This study unifies and extends previous results obtained for the Orlicz and Luxemburg norms and fills a gap in the literature concerning the p$p$‐Amemiya norms.

Suggested Citation

  • Serap Öztop & Badik Hüseyin Uysal, 2026. "H‐Points and H‐Property of the Orlicz Spaces Endowed With the s‐Norms," Mathematische Nachrichten, Wiley Blackwell, vol. 299(5), pages 1062-1084, May.
    • Handle: RePEc:bla:mathna:v:299:y:2026:i:5:p:1062-1084
    DOI: 10.1002/mana.70128
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.70128
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.70128?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:299:y:2026:i:5:p:1062-1084. 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.