Measure for Product Space of Real Normed Spaces

Summary This paper deals with Cartesian product spaces of real linear spaces and Cartesian product spaces of real normed spaces. In principle, both are attributed to the direct product of real linear spaces, but the direct product of normed spaces is needed to deal with the calculus of n -dimensional spaces. We also prove that the Lebesgue measure on tuple-type sets introduced in [6] is σ -finite.