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

Juan Carlos Sampedro ()
Additional contact information
Juan Carlos Sampedro: Institute of Interdisciplinary Mathematics (IMI)

Journal of Theoretical Probability, 2024, vol. 37, issue 3, 2665-2703

Abstract: 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.

Keywords: Projective limit measures; Limit; Colimit; Measures on vector spaces; Gaussian measures; Lebesgue spaces; Osterwalder–Schrader axioms; 18A30; 60A10; 46E30; 46M10 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-024-01329-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:37:y:2024:i:3:d:10.1007_s10959-024-01329-1

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-024-01329-1

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().