Fundamental Theorem of Calculus in Topological Vector Spaces

Author(s):

M. A. Robdera∗ , D. N. Kagiso

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

Integration , differentiation , vector valuedadditive set functions , Fundamental Theorem of Calculus , LebesgueNikodym Theorem

Language:
English
Published:
Journal of Mathematical Extension, Volume:11 Issue: 2, Spring 2017
Pages:
93 to 110
https://www.magiran.com/p2266231