Properties of the Adjoint Operator of a General Fuzzy Bounded Operator
Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties in order to define the adjoint operator of a general fuzzy bounded operator from a general fuzzy normed space V into another general fuzzy normed space U. After that basic properties of the...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2021-03-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3091 |
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| author | Manar Naji Gheeab Jehad R. Kider |
| author_facet | Manar Naji Gheeab Jehad R. Kider |
| author_sort | Manar Naji Gheeab |
| collection | DOAJ |
| description | Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties in order to define the adjoint operator of a general fuzzy bounded operator from a general fuzzy normed space V into another general fuzzy normed space U. After that basic properties of the adjoint operator were proved then the definition of fuzzy reflexive general fuzzy normed space was introduced in order to prove that every finite dimensional general fuzzy normed space is fuzzy reflexive. |
| format | Article |
| id | doaj-art-b4abd9ecccdb4118ad53434f7b52c7c2 |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2021-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-b4abd9ecccdb4118ad53434f7b52c7c22025-08-20T02:54:40ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862021-03-01181(Suppl.)10.21123/bsj.2021.18.1(Suppl.).0790Properties of the Adjoint Operator of a General Fuzzy Bounded OperatorManar Naji Gheeab0Jehad R. Kider1Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, IraqBranch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, IraqOur goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties in order to define the adjoint operator of a general fuzzy bounded operator from a general fuzzy normed space V into another general fuzzy normed space U. After that basic properties of the adjoint operator were proved then the definition of fuzzy reflexive general fuzzy normed space was introduced in order to prove that every finite dimensional general fuzzy normed space is fuzzy reflexive.https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3091djoint operator, Fuzzy reflexive space, General fuzzy normed space GFB(V, ℝ), General fuzzy continuous operator, General Fuzzy bounded operator. |
| spellingShingle | Manar Naji Gheeab Jehad R. Kider Properties of the Adjoint Operator of a General Fuzzy Bounded Operator مجلة بغداد للعلوم djoint operator, Fuzzy reflexive space, General fuzzy normed space GFB(V, ℝ), General fuzzy continuous operator, General Fuzzy bounded operator. |
| title | Properties of the Adjoint Operator of a General Fuzzy Bounded Operator |
| title_full | Properties of the Adjoint Operator of a General Fuzzy Bounded Operator |
| title_fullStr | Properties of the Adjoint Operator of a General Fuzzy Bounded Operator |
| title_full_unstemmed | Properties of the Adjoint Operator of a General Fuzzy Bounded Operator |
| title_short | Properties of the Adjoint Operator of a General Fuzzy Bounded Operator |
| title_sort | properties of the adjoint operator of a general fuzzy bounded operator |
| topic | djoint operator, Fuzzy reflexive space, General fuzzy normed space GFB(V, ℝ), General fuzzy continuous operator, General Fuzzy bounded operator. |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3091 |
| work_keys_str_mv | AT manarnajigheeab propertiesoftheadjointoperatorofageneralfuzzyboundedoperator AT jehadrkider propertiesoftheadjointoperatorofageneralfuzzyboundedoperator |