On finitely additive measures in nuclear spaces
On finitely additive measures in nuclear spaces
Under certain conditions, it is stated the existence of a Radon-Nikodým Pettis-type derivative of a finitely additive measure taking values in a locally convex topological vector space \(X\) with respect to a positive finitely additive measure. Furthermore, some Radon-Nikodým theorems for the Bochner integral are proved under the assumptions that \(X\) is dual nuclear and quasi-complete.
- University of Perugia Italy
nuclear spaces; Radon Nikodym theorems; Rybakov control, nuclear space, Radon-Nikodým derivative, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, Bochner integral, finitely additive measure
nuclear spaces; Radon Nikodym theorems; Rybakov control, nuclear space, Radon-Nikodým derivative, Vector-valued set functions, measures and integrals, Vector-valued measures and integration, Bochner integral, finitely additive measure
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