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Finitely additive correspondences

Author: Achille Basile
Journal: Proc. Amer. Math. Soc. 121 (1994), 883-891
MSC: Primary 28B20; Secondary 28B10, 46G10, 90A05
MathSciNet review: 1189742
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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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