We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces.
- Authors
Kider, Jehad R.; Kadhum, Noor A.
- Abstract
In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy compact if and only if the image of any fuzzy bounded sequence contains a convergent subsequence is given. At this point the basic properties of the vector space FC(V,U)of all fuzzy compact linear operators are investigated such as when U is complete and the sequence (Tn) of fuzzy compact operators converges to an operator T then T must be fuzzy compact. Furthermore we see that when T is a fuzzy compact operator and S is a fuzzy bounded operator then the composition TS and ST are fuzzy compact operators. Finally, if T belongs to FC(V,U) and dimension of V is finite then T is fuzzy compact is proved.
- Subjects
COMPACT operators; LINEAR operators; NORMED rings; COMPOSITION operators; VECTOR spaces
- Publication
Baghdad Science Journal, 2019, Vol 16, Issue 1, p104
- ISSN
2078-8665
- Publication type
Article
- DOI
10.21123/bsj.2019.16.1.0104