Some Properties of The Finitely Additive Vector Integral
arXiv:2502.00794 · doi:10.1007/s43036-025-00489-z
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.