Author/Authors :
M. Saheli، M. Saheli نويسنده University of Rafsanjan, Raf- sanjan, Iran M. Saheli, M. Saheli , A. Hasankhani، A. Hasankhani نويسنده Islamic Azad University, Kerman Branch, Kerman, Iran A. Hasankhani, A. Hasankhani , A. Nazari، A. Nazari نويسنده Shahid Bahonar University of Kerman, Kerman, Iran A. Nazari, A. Nazari
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.