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Properties of fuzzy compact linear operators on fuzzy normed spaces
Other Title(s)
خواص المؤثرات الخطية المتراصة الضبابية على فضاء القياس الضبابي
Joint Authors
Kazim, Nur Ahmad
Khidr, Jihad Ramadan
Source
Issue
Vol. 16, Issue 1 (31 Mar. 2019), pp.104-110, 7 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2019-03-31
Country of Publication
Iraq
No. of Pages
7
Main Subjects
Topics
Abstract EN
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.
American Psychological Association (APA)
Khidr, Jihad Ramadan& Kazim, Nur Ahmad. 2019. Properties of fuzzy compact linear operators on fuzzy normed spaces. Baghdad Science Journal،Vol. 16, no. 1, pp.104-110.
https://search.emarefa.net/detail/BIM-876203
Modern Language Association (MLA)
Khidr, Jihad Ramadan& Kazim, Nur Ahmad. Properties of fuzzy compact linear operators on fuzzy normed spaces. Baghdad Science Journal Vol. 16, no. 1 (2019), pp.104-110.
https://search.emarefa.net/detail/BIM-876203
American Medical Association (AMA)
Khidr, Jihad Ramadan& Kazim, Nur Ahmad. Properties of fuzzy compact linear operators on fuzzy normed spaces. Baghdad Science Journal. 2019. Vol. 16, no. 1, pp.104-110.
https://search.emarefa.net/detail/BIM-876203
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 109
Record ID
BIM-876203