Fundamental theorem of calculus in topological vector spaces

Authors

  • Mangatiana A. Robdera University of Botswana
  • Dintle N. Kagiso

DOI:

https://doi.org/10.30495/jme.v11i0.523

Keywords:

Key words and phrases, Integration, differentiation, vector valued additive set functions, Fundamental Theorem of Calculus, Lebesgue-Nikodým Theorem.

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.

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Published

2017-06-20

Issue

Vol. 11

Section

Vol. 11, No. 2, (2017)

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