Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators
In this article, we introduce and study a new class of operators, larger than α,β−A-normal operators and different than α,β−A-normal operators, named m-quasi-α,β−A-normal operators. Considering the semi-inner product induced by a positive operator A, the m-quasi-α,β−A-normal operators turn into a ge...
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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/10.1155/2022/1506330 |
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| _version_ | 1832550178181087232 |
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| author | Sid Ahmed Ould Ahmed Mahmoud Sidi Hamidou Jah |
| author_facet | Sid Ahmed Ould Ahmed Mahmoud Sidi Hamidou Jah |
| author_sort | Sid Ahmed Ould Ahmed Mahmoud |
| collection | DOAJ |
| description | In this article, we introduce and study a new class of operators, larger than α,β−A-normal operators and different than α,β−A-normal operators, named m-quasi-α,β−A-normal operators. Considering the semi-inner product induced by a positive operator A, the m-quasi-α,β−A-normal operators turn into a generalization (for this new structure) of classical m-quasi-α,β-normal operators. Several results concerning properties of this kind of operators are presented in the paper. Several inequalities for the A-numerical radius and A-operator norm for members of this class are established. |
| format | Article |
| id | doaj-art-ef7c8a6e2ae14694b7d5ac3fd9a704be |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ef7c8a6e2ae14694b7d5ac3fd9a704be2025-02-03T06:07:33ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1506330Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal OperatorsSid Ahmed Ould Ahmed Mahmoud0Sidi Hamidou Jah1Mathematics DepartmentDepartment of MathematicsIn this article, we introduce and study a new class of operators, larger than α,β−A-normal operators and different than α,β−A-normal operators, named m-quasi-α,β−A-normal operators. Considering the semi-inner product induced by a positive operator A, the m-quasi-α,β−A-normal operators turn into a generalization (for this new structure) of classical m-quasi-α,β-normal operators. Several results concerning properties of this kind of operators are presented in the paper. Several inequalities for the A-numerical radius and A-operator norm for members of this class are established.http://dx.doi.org/10.1155/2022/1506330 |
| spellingShingle | Sid Ahmed Ould Ahmed Mahmoud Sidi Hamidou Jah Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators Journal of Mathematics |
| title | Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators |
| title_full | Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators |
| title_fullStr | Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators |
| title_full_unstemmed | Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators |
| title_short | Inequalities Involving A-Numerical Radius and Operator A-Norm for a Class of Operators Related to α,β−A-Normal Operators |
| title_sort | inequalities involving a numerical radius and operator a norm for a class of operators related to α β a normal operators |
| url | http://dx.doi.org/10.1155/2022/1506330 |
| work_keys_str_mv | AT sidahmedouldahmedmahmoud inequalitiesinvolvinganumericalradiusandoperatoranormforaclassofoperatorsrelatedtoabanormaloperators AT sidihamidoujah inequalitiesinvolvinganumericalradiusandoperatoranormforaclassofoperatorsrelatedtoabanormaloperators |