Some Properties of The Finitely Additive Vector Integral
Functional Analysis
2026-03-25 v3 Probability
Abstract
We prove some results concerning the finitely additive, vector integral of Bochner and Pettis and their representation over a countably additive probability space. Applications to convergence of vector valued martingales and to the non compact Choquet theorem are provided.
Keywords
Cite
@article{arxiv.2502.00794,
title = {Some Properties of The Finitely Additive Vector Integral},
author = {Gianluca Cassese},
journal= {arXiv preprint arXiv:2502.00794},
year = {2026}
}