IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-0382-3_4.html
   My bibliography  Save this book chapter

Measure and Integration: Integral representations of isotone functionals

In: Measure and Integration

Author

Listed:
  • Heinz König

    (Universität des Saarlandes, Fachbereich Mathematik)

Abstract

The present article is another continuation of the recent book of the author [1997] on measure and integration (cited as MI). The subsequent expository paper [1999] (cited as MI0) summarized the essentials, and went on to attain a standpoint which permits the competent evaluation of the traditional extension theories named after Daniell-Stone and Bourbaki, that is of those which start with certain isotone linear functionals. To this end the paper described without proof some further developments. The present article and its predecessor [1998] (cited as MI1) have the aim to elaborate these new developments in adequate contexts. While the previous one dealt with the measure-theoretic aspects proper as described in MI0 sections 1 and 4, the topic this time are certain isotone functionals and their integral representations. We shall elaborate the inner type development of MI sections 14 and 15 into parallel outer and inner representation theories, as formulated in MI0 section 3 as the decisive point for the purpose of that paper.

Suggested Citation

  • Heinz König, 2012. "Measure and Integration: Integral representations of isotone functionals," Springer Books, in: Measure and Integration, edition 127, pages 57-87, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0382-3_4
    DOI: 10.1007/978-3-0348-0382-3_4
    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:978-3-0348-0382-3_4. 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.