2014•Iranian journal of fuzzy systemsRequires access

SOME PROPERTIES OF FUZZY NORM OF LINEAR OPERATORS

Morteza Saheli, A. Hasankhani, Akbar Nazari

Abstract

In the present paper, we study some properties of fuzzy norm of linear operators. At rst 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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Key concepts: Bounded inverse theorem, Mathematics, Closed graph theorem, Operator norm, Bounded operator, Unbounded operator, Operator theory, Continuous linear operator