Fundamental theorem of calculus under weaker forms of primitive

Abstract

In this paper we will present abstract versions of fundamental theorem of calculus (FTC) in the setting of Kurzweil - Henstock integral for functions taking values in an infinite dimensional locally convex space. The result will also be dealt with weaker forms of primitives in a widespread setting of integration theories generalising Riemann integral.

Keywords

• fundamental theorem of calculus
• kurzweil - henstock intgeral
• bochner integral
• frechet space
• primary 46g10
• secondary 46g12