University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065411220140428Some Properties of Fuzzy Norm of Linear Operators121139150710.22111/ijfs.2014.1507ENM.SaheliDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Raf-
sanjan, IranA.HasankhaniDepartment of Mathematics, Islamic Azad University, Kerman Branch,
Kerman, IranA.NazariDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, IranJournal Article20120304In 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.https://ijfs.usb.ac.ir/article_1507_c3be1a4ebdc957d15c09667519e4e94f.pdf