We are now ready to define vector spaces. The idea is to observe that sets of column vectors, or row vectors, or more generally matrices of a given size, all come equipped with a notion of addition ...

Department of Mathematics, University of Jammu, Jammu and Kashmir, India. The concept of topological vector spaces was introduced by Kolmogroff [1] in 1934. Its properties were further studied by ...

We investigate the size of the distance set determined by two subsets of finite dimensional vector spaces over finite fields. A lower bound of the size is given explicitly in terms of cardinalities of ...