Title of article
Linear operator of various types and its basic properties
Author/Authors
Khalaf, Alaa Abdalkareem Department of Applied Sciences - University of Technology, Iraq , Rmadhan Kider, Jehad Department of Applied Sciences - University of Technology, Iraq
Pages
9
From page
3949
To page
3957
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
a-fuzzy normed space , Fuzzy bounded linear operator , Fuzzy compact linear operator
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2714481
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