Linear operator of various types and its basic properties

	Linear operator of various types and its basic properties
International Journal of Nonlinear Analysis and Applications
دوره 13، شماره 1، خرداد 2022، صفحه 3949-3957 اصل مقاله (401.61 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6194
نویسندگان
Alaa Abdalkareem Khalaf؛ Jehad Rmadhan Kider^*
Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Iraq
چکیده
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.
کلیدواژه‌ها
a-fuzzy normed space؛ Fuzzy bounded linear operator؛ Fuzzy compact linear operator
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