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A New View on Soft Normed Spaces

2014/03/20 by Tunay Bilgin, Tunay Bılgın, Sadi Bayramov +8
Decision Sciences · Mathematics · #46B99 #47S99 #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #math.FA #msc:46B99 #msc:47S99

paper · pdf · doi:10.48550/arxiv.1403.5064

arxiv created 2014/03/20 · openalex publication_date 2014/03/20 · arxiv updated 2014/03/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

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