Fundamental theorem of calculus in topological vector spaces
Abstract
We extends the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the Lebesgue-Nikodym Theorem and the Fundamental Theorem of Calculus in such a more general setting.
Keywords
Key words and phrases: Integration, differentiation, vector valued additive set functions, Fundamental Theorem of Calculus, Lebesgue-Nikodým Theorem.
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