Structure of k-Quasi-m,n-Isosymmetric Operators
The investigation of new operators belonging to some specific classes has been quite fashionable since the beginning of the century, and sometimes it is indeed relevant. In this study, we introduce and study a new class of operators called k-quasi-m,n-isosymmetric operators on Hilbert spaces. This n...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8377463 |
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| _version_ | 1832562304717160448 |
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| author | Sid Ahmed Ould Ahmed Mahmoud El Moctar Ould Beiba Sidi Hamidou Jah Maawiya Ould Sidi |
| author_facet | Sid Ahmed Ould Ahmed Mahmoud El Moctar Ould Beiba Sidi Hamidou Jah Maawiya Ould Sidi |
| author_sort | Sid Ahmed Ould Ahmed Mahmoud |
| collection | DOAJ |
| description | The investigation of new operators belonging to some specific classes has been quite fashionable since the beginning of the century, and sometimes it is indeed relevant. In this study, we introduce and study a new class of operators called k-quasi-m,n-isosymmetric operators on Hilbert spaces. This new class of operators emerges as a generalization of the m,n-isosymmetric operators. We give a characterization for any operator to be k-quasi-m,n-isosymmetric operator. Using this characterization, we prove that any power of an k-quasi-m,n-isosymmetric operator is also an k-quasi-m,n-isosymmetric operator. Furthermore, we study the perturbation of an k-quasi-m,n-isosymmetric operator with a nilpotent operator. The product and tensor products of two k-quasi-m,n-isosymmetries are investigated. |
| format | Article |
| id | doaj-art-0b782059f60e48ef847a99dccd02a02a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0b782059f60e48ef847a99dccd02a02a2025-02-03T01:22:53ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8377463Structure of k-Quasi-m,n-Isosymmetric OperatorsSid Ahmed Ould Ahmed Mahmoud0El Moctar Ould Beiba1Sidi Hamidou Jah2Maawiya Ould Sidi3Mathematics DepartmentDepartment of Mathematics and Computer SciencesDepartment of MathematicsMathematics DepartmentThe investigation of new operators belonging to some specific classes has been quite fashionable since the beginning of the century, and sometimes it is indeed relevant. In this study, we introduce and study a new class of operators called k-quasi-m,n-isosymmetric operators on Hilbert spaces. This new class of operators emerges as a generalization of the m,n-isosymmetric operators. We give a characterization for any operator to be k-quasi-m,n-isosymmetric operator. Using this characterization, we prove that any power of an k-quasi-m,n-isosymmetric operator is also an k-quasi-m,n-isosymmetric operator. Furthermore, we study the perturbation of an k-quasi-m,n-isosymmetric operator with a nilpotent operator. The product and tensor products of two k-quasi-m,n-isosymmetries are investigated.http://dx.doi.org/10.1155/2022/8377463 |
| spellingShingle | Sid Ahmed Ould Ahmed Mahmoud El Moctar Ould Beiba Sidi Hamidou Jah Maawiya Ould Sidi Structure of k-Quasi-m,n-Isosymmetric Operators Journal of Mathematics |
| title | Structure of k-Quasi-m,n-Isosymmetric Operators |
| title_full | Structure of k-Quasi-m,n-Isosymmetric Operators |
| title_fullStr | Structure of k-Quasi-m,n-Isosymmetric Operators |
| title_full_unstemmed | Structure of k-Quasi-m,n-Isosymmetric Operators |
| title_short | Structure of k-Quasi-m,n-Isosymmetric Operators |
| title_sort | structure of k quasi m n isosymmetric operators |
| url | http://dx.doi.org/10.1155/2022/8377463 |
| work_keys_str_mv | AT sidahmedouldahmedmahmoud structureofkquasimnisosymmetricoperators AT elmoctarouldbeiba structureofkquasimnisosymmetricoperators AT sidihamidoujah structureofkquasimnisosymmetricoperators AT maawiyaouldsidi structureofkquasimnisosymmetricoperators |