IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-89502-2_5.html
   My bibliography  Save this book chapter

The Daniell-Stone and Riesz Representation Theorems

In: Measure and Integration

Author

Listed:
  • Heinz König

    (Universität des Saarlandes, Fakultät für Mathematik und Informatik)

Abstract

The present chapter contains the most important consequences of the extension theories of chapter II. We shall obtain the representation theorems of Daniell-Stone and Frédéric Riesz in the spirit and scope of the extension theories. The Daniell-Stone theorem will be established in versions •=⋆στ as above, and based on inner regularity this time. The Riesz theorem will be a direct specialization of the case •=τ. It will involve all Borel-Radon measures on all Hausdorff topological spaces. We have sketched all this in the introduction. A substantial tool will be the combination of the horizontal and vertical integrals developed in sections 11 and 12.

Suggested Citation

  • Heinz König, 1997. "The Daniell-Stone and Riesz Representation Theorems," Springer Books, in: Measure and Integration, chapter 0, pages 143-178, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-89502-2_5
    DOI: 10.1007/978-3-540-89502-2_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-540-89502-2_5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.