Development of Riemann Functional in a Banach Space

Abstract

In this paper, I investigate the Riemann integral when the range of the function on

which the integral is defined is a Banach space and I tried to apply the known theories

to other integrals when the range is a Banach space, and I found that they are fulfilled

in the Riemann integral when the conditions are met in the function for us to integrate

it by Riemann.