Some Properties of Fuzzy Norm of Linear Operators
Publish place: Iranian Journal of Fuzzy Systems، Vol: 11، Issue: 2
Publish Year: 1393
Type: Journal paper
Language: English
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JR_IJFS-11-2_011
Index date: 20 June 2022
Some Properties of Fuzzy Norm of Linear Operators 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.
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Some Properties of Fuzzy Norm of Linear Operators authors
M. Saheli
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran
A. Hasankhani
Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
A. Nazari
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
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