In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using ...

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.

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 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 ...