International Journal of Nonlinear Analysis and Applications

Linear operator of various types and its basic properties

Document Type : Research Paper

Authors

Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Iraq

Abstract

We are starting to construct a new theory of linear operators of various types defined on fuzzy normed space inspired by the theory of linear operators of various types defined on ordinary normed space. The first goal in this paper is to introduce the notion of a fuzzy bounded linear operator on a-fuzzy normed space then basic properties of this type of linear operators are proved. The second aim in this paper is to introduce the notion of a fuzzy compact linear operator on a-fuzzy normed space then we shall discuss important general properties of this type of linear operators.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 3949-3957
  • Receive Date: 18 August 2021
  • Revise Date: 04 September 2021
  • Accept Date: 11 October 2021