Some Properties of The Finitely Additive Vector Integral

Published 2 Feb 2025 in math.FA and math.PR | (2502.00794v1)

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

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