%0 Journal Article
%T Linear operator of various types and its basic properties
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Khalaf, Alaa Abdalkareem
%A Kider, Jehad Rmadhan
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 3949-3957
%! Linear operator of various types and its basic properties
%K a-fuzzy normed space
%K Fuzzy bounded linear operator
%K Fuzzy compact linear operator
%R 10.22075/ijnaa.2022.6194
%X 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.
%U https://ijnaa.semnan.ac.ir/article_6194_266c1850468fb7300b7f88a3fea51079.pdf