Result: Generating functions in Riesz spaces

Title:
Generating functions in Riesz spaces
Authors:
Azouzi, Youssef, Nasri, Youssef
Source:
Quaestiones Mathematicae; Vol. 47 No. 1 (2024): Supplementary ; S1–S21
Publication Status:
Preprint
Publisher Information:
National Inquiry Services Center (NISC), 2024.
Publication Year:
2024
Subject Terms:
Mathematics - Functional Analysis, FOS: Mathematics, Generating function, Dedekind complete Riesz space, Conditional expectation, order convergence, unbounded order convergence, 60E05, 0101 mathematics, 01 natural sciences, Functional Analysis (math.FA)
Document Type:
Academic journal Article
File Description:
application/pdf
Language:
English
ISSN:
1727-933X
1607-3606
DOI:
10.2989/16073606.2023.2287853
DOI:
10.48550/arxiv.2212.00673
Access URL:
http://arxiv.org/abs/2212.00673
https://www.ajol.info/index.php/qm/article/view/268535
Rights:
CC 0
Accession Number:
edsair.doi.dedup.....b9f83f15e32706e7efc9204b2581c28c
Database:
OpenAIRE

Further Information

We introduce and study the concept of generating function for natural elements in a Dedekind complete Riesz space equipped with a conditional expectatnion operator. This allows to study discrete processes in free-measure setting. In particular we improve a result obtained by Kuo, Vardy and Watson concerning Poisson approximation.