Finitely additive correspondences

Basile, Achille

doi:10.1090/S0002-9939-1994-1189742-8

Finitely additive correspondences
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by Achille Basile

Proc. Amer. Math. Soc. 121 (1994), 883-891

DOI: https://doi.org/10.1090/S0002-9939-1994-1189742-8

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Abstract:

Let X be a locally convex space. Finitely additive X-valued correspondences are investigated, and exhaustive, weakly compact-valued ones are shown to be rich in selections. If, in addition, X is metrizable, then one of such selections is a control. The range of nonatomic correspondences is also studied.

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