%0 Journal Article %T Riemann Integral of Functions from R into Real Normed Space %A Keiichi Miyajima %A Takahiro Kato %A Yasunari Shidama %J Formalized Mathematics %@ 1898-9934 %D 2011 %I %R 10.2478/v10037-011-0003-8 %X In this article, we define the Riemann integral on functions from R into real normed space and prove the linearity of this operator. As a result, the Riemann integration can be applied to a wider range of functions. The proof method follows the [16]. %U http://versita.metapress.com/content/kn535246264t348m/?p=25816f9e6d274cf5ab90abc2a2c39abd&pi=2