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arXiv · 2502.00794

Some Properties of The Finitely Additive Vector Integral

Gianluca Cassese
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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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Gianluca Cassese. 2025-02-02. Some Properties of The Finitely Additive Vector Integral. https://doi.org/10.1007/s43036-025-00489-z

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