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.
Cassese, G. (In corso di stampa). Some Properties of The Finitely Additive Vector Integral. ADVANCES IN OPERATOR THEORY [10.1007/s43036-025-00489-z].
Some Properties of The Finitely Additive Vector Integral
Gianluca Cassese
In corso di stampa
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.
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Cassese-2026-Adv Operator Theory-AAM.pdf
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