We prove some results concerning the finitely additive, vector integrals of Bochner and Pettis and their representation over a countably additive probability space. An application to the non compact Choquet theorem is also provided.

Cassese, G. (2026). Some Properties of The Finitely Additive Vector Integral. ADVANCES IN OPERATOR THEORY, 11(1 (January 2026)) [10.1007/s43036-025-00489-z].

Some Properties of The Finitely Additive Vector Integral

Cassese, G
2026

Abstract

We prove some results concerning the finitely additive, vector integrals of Bochner and Pettis and their representation over a countably additive probability space. An application to the non compact Choquet theorem is also provided.
Articolo in rivista - Articolo scientifico
Bochner integral; Choquet integral representation; Finitely additive probabilities; Integral representation; Pettis integral; Radon measure;
English
10-dic-2025
2026
11
1 (January 2026)
13
open
Cassese, G. (2026). Some Properties of The Finitely Additive Vector Integral. ADVANCES IN OPERATOR THEORY, 11(1 (January 2026)) [10.1007/s43036-025-00489-z].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/579883
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