Some Properties of Fuzzy Norm of Linear Operators
نویسندگان
1 Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
3 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran
doi
10.22111/ijfs.2014.1507چکیده
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.
