Some Properties of Fuzzy Norm of Linear Operators

Authors

  • A. Hasankhani Department of Mathematics, Islamic Azad University, Kerman Branch, Kerman, Iran
  • A. Nazari Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
  • M. Saheli Department of Mathematics, Vali-e-Asr University of Rafsanjan, Raf- sanjan, Iran
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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Journal title

volume 11  issue 2

pages  121- 139

publication date 2014-04-28

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