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On Denjoy type extensions of the Pettis integral
Authors:Kirill Naralenkov
Institution:1.Dept. of Math. Methods and Information Technologies,Moscow State Institute of International Relations,Moscow,Russian Federation
Abstract:In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued functions. The connection between some Denjoy type extensions of the Pettis integral is examined.
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