Approximation Properties in Felbin Fuzzy Normed Spaces

Abstract

In this paper, approximation properties in Felbin fuzzy normed spaces are considered. These approximation properties are new concepts in Felbin fuzzy normed spaces. Definitions and examples of such properties are given and we make a comparative study among approximation properties in Bag and Samanta fuzzy normed spaces and Felbin fuzzy normed spaces. We develop the representation of finite rank bounded operators in our context. By using this representation, characterizations of approximation properties are established in Felbin fuzzy normed spaces.

Keywords

• felbin-fuzzy normed space
• bag and samanta fuzzy normed space
• approximation property
• bound approximation property
• finite rank operator