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 ...

A topological vector space is any abstract vector space (Peano, 1888) equipped with a compatible topology. It was M. Fréchet (1902) who initiated the study of metrizable topologies on vector spaces.

ABSTRACT: The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Zp for p a prime, as the underlying near-field. There are two notions of near-vector spaces, ...

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 ...

Abstract: In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least ...

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 ...