IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/210903.html
   My bibliography  Save this article

Some remarks concerning finitely Subadditive outer measures with applications

Author

Listed:
  • John E. Knight

Abstract

The present paper is intended as a first step toward the establishment of a general theory of finitely subadditive outer measures. First, a general method for constructing a finitely subadditive outer measure and an associated finitely additive measure on any space is presented. This is followed by a discussion of the theory of inner measures, their construction, and the relationship of their properties to those of an associated finitely subadditive outer measure. In particular, the interconnections between the measurable sets determined by both the outer measure and its associated inner measure are examined. Finally, several applications of the general theory are given, with special attention being paid to various lattice related set functions.

Suggested Citation

  • John E. Knight, 1998. "Some remarks concerning finitely Subadditive outer measures with applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-17, January.
    • Handle: RePEc:hin:jijmms:210903
    DOI: 10.1155/S016117129800091X
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/21/210903.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/21/210903.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S016117129800091X?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:hin:jijmms:210903. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.