3 research outputs found
The Real Vector Spaces of Finite Sequences are Finite Dimensional
In this paper we show the finite dimensionality of real linear spaces with their carriers equal Rn. We also give the standard basis of such spaces. For the set Rn we introduce the concepts of linear manifold subsets and orthogonal subsets. The cardinality of orthonormal basis of discussed spaces is proved to equal n.Yatsuka Nakamura - Shinshu University Nagano, JapanNagato Oya - Shinshu University Nagano, JapanYasunari Shidama - Shinshu University Nagano, JapanArtur KorniĆowicz - Institute of Computer Science, University of BiaĆystok, Sosnowa 64, 15-887 BiaĆystok, Polan