Fundamental Theorem of Calculus in Topological Vector Spaces

Please use this identifier to cite or link to this item: http://hdl.handle.net/10311/1766

Title:	Fundamental Theorem of Calculus in Topological Vector Spaces
Authors:	Robdera, M. A. Kagiso, D. N.
Keywords:	Integration differentiation vector valued additive set functions Fundamental Theorem of Calculus Lebesgue-Nikodym Theorem
Issue Date:	Oct-2017
Publisher:	Journal of Mathematics Extension
Citation:	Robdera, M.A. & Kagiso, D.N. (2017) Fundamental theorem of calculus in topological vector spaces. Journal of Mathematical Extension Vol. 11, No. 2, pp. 93-110
Abstract:	We extend 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.
URI:	http://hdl.handle.net/10311/1766
ISSN:	1735-8299
Appears in Collections:	Research articles (Dept of Mathematics)

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