On the Differentiability of Vector Valued Additive Set Functions
Ma Robdera2013, Advances in Pure Mathematics
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Abstract
Such a property is not shared by vector valued set functions. We introduce a suitable definition of the integral that will extend the above property to the vector valued case in its full generality. We also discuss a further extension of the Fundamental Theorem of Calculus for additive set functions with values in an infinite dimensional normed space.
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