IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-0382-3_7.html
   My bibliography  Save this book chapter

Upper envelopes of inner premeasures

In: Measure and Integration

Author

Listed:
  • Heinz König

    (Universität des Saarlandes, Mathematik)

Abstract

In the recent book [18] on measure and integration (cited as MI) and in subsequent papers [19] - [24] the present author attempted to restructure the domain of their basic extension and representation procedures, and to develop the implications on various issues in measure and integration and beyond. There were essential connections with the work [7] [8] of Gustave Choquet. Thus MI Section 10 obtained an extended version of his capacitability theorem. The representation theories in MI chapter V and [22] [24] were based on the Choquet integral introduced in [7] Section 48, in form of the so-called horizontal integral of MI Section 11, while [24] Section 1 obtained a comprehensive version of his fundamental theorem [7] 54.1. The present paper wants to resume another theme initiated in [7] Section 53.7, that is the representation of certain non-additive set functions and functionals as upper envelopes of appropriate measures.

Suggested Citation

  • Heinz König, 2012. "Upper envelopes of inner premeasures," Springer Books, in: Measure and Integration, edition 127, pages 127-148, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0382-3_7
    DOI: 10.1007/978-3-0348-0382-3_7
    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

    Keywords

    ;
    ;
    ;

    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_7. 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.