Some Properties of Fuzzy Norm of Linear Operators

Document Type: Research Paper

Authors

1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran

2 Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran

3 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.

Keywords


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