English

A New View on Soft Normed Spaces

Functional Analysis 2014-03-21 v1

Abstract

In this paper, we work on the structure of soft linear spaces over a field K and investigate some of its properties. Here, we use the concept of the soft point which was introduced in [2,6]. We then introduce the soft norm in soft linear spaces. Finally, we examine the properties of this soft normed space and present some investigations about soft continuous operators in the space.

Keywords

Cite

@article{arxiv.1403.5064,
  title  = {A New View on Soft Normed Spaces},
  author = {Tunay Bilgin and Sadi Bayramov and Cigdem Gunduz and Murat Ibrahim Yazar},
  journal= {arXiv preprint arXiv:1403.5064},
  year   = {2014}
}
R2 v1 2026-06-22T03:30:35.342Z