Scientific Research Publishing

On Almost Pretopological Vector Spaces ()

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 ...
Scientific Research Publishing

On Almost β-Topological 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 ...
Techniques de l'Ingénieur

Reminders on topological vector spaces

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.
UCL

4.2 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 ...
IEEE

An efficient reasoning method on logic programming using partial evaluation in vector spaces

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 ...