IDEAS home Printed from https://ideas.repec.org/a/spr/jotpro/v37y2024i3d10.1007_s10959-024-01329-1.html
   My bibliography  Save this article

On the $$L^{p}$$ L p -Spaces of Projective Limits of Probability Measures

Author

Listed:
  • Juan Carlos Sampedro

    (Institute of Interdisciplinary Mathematics (IMI)
    Universidad Politécnica de Madrid)

Abstract

The present article describes the precise structure of the $$L^{p}$$ L p -spaces of projective limit measures by introducing a category-theoretical perspective. This analysis is applied to measures on vector spaces and in particular to Gaussian measures on nuclear topological vector spaces. A simple application to constructive quantum field theory (QFT) is given through the Osterwalder–Schrader axioms.

Suggested Citation

  • Juan Carlos Sampedro, 2024. "On the $$L^{p}$$ L p -Spaces of Projective Limits of Probability Measures," Journal of Theoretical Probability, Springer, vol. 37(3), pages 2665-2703, September.
    • Handle: RePEc:spr:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-024-01329-1
    DOI: 10.1007/s10959-024-01329-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10959-024-01329-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10959-024-01329-1?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Rao, M. M., 1971. "Projective limits of probability spaces," Journal of Multivariate Analysis, Elsevier, vol. 1(1), pages 28-57, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Beznea, Lucian & Deaconu, Madalina & Lupaşcu, Oana, 2015. "Branching processes for the fragmentation equation," Stochastic Processes and their Applications, Elsevier, vol. 125(5), pages 1861-1885.

    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:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-024-01329-1. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.