Some Topological Character of Neutrosophic normed spaces

Abstract

The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator ψ(zj ) and the concept of statistical convergence. we introduce some neutrosophic statistical convergence of sequence spaces defined by compact operator and study of neutrosophic norm and derive the relation between statistical convergence in NNS with the help of compact operator. We also focus on some topological and algebraic properties of these convergent sequence spaces.

Keywords

• nns
• t-norm
• t-conorm; statistical convergence
• compact linear operator
• bounded linear operator
• neutrosophic set