Geodesic
A generalization of the Bochner integral to locally convex spaces
Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 577-588

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We present a generalization of the Bochner integral to locally convex spaces. This generalization preserves the nuclearity of the mapping of the space of continuous functions on a compactum represented by the Bochner integral. We introduce locally convex spaces in which the study of a broad class of vector measures with values in these spaces reduces to the study of measures with values in a normed space. The results obtained are used to describe Fréchet spaces possessing the $RN$ property. 
@article{MZM_1975_18_4_a10,
     author = {V. I. Rybakov},
     title = {A generalization of the {Bochner} integral to locally convex spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {577--588},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a10/}
}
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V. I. Rybakov. A generalization of the Bochner integral to locally convex spaces. Matematičeskie zametki, Tome 18 (1975) no. 4, pp. 577-588. http://geodesic.mathdoc.fr/item/MZM_1975_18_4_a10/