The Sum Two of Hermitian Operators Ai=Ti+Mi for Solving the Equations{Ai X=Ui },i=1,2
In this work we study a new class of equations (Ti+Mi)X=Ui, i=1,2 including the sum two of Hermitian operatorsTi and Mi , i=1,2, concerning the kind of spaces are Hilbert. The existence of joint Hermitian solutions to summing two equations of operators has been found under both necessary and suff...
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| Format: | Article |
| Language: | English |
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College of Education for Pure Sciences
2023-09-01
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| Series: | Wasit Journal for Pure Sciences |
| Online Access: | https://wjps.uowasit.edu.iq/index.php/wjps/article/view/208 |
| Summary: | In this work we study a new class of equations (Ti+Mi)X=Ui, i=1,2 including the sum two of Hermitian operatorsTi and Mi , i=1,2, concerning the kind of spaces are Hilbert. The existence of joint Hermitian solutions to summing two equations of operators has been found under both necessary and sufficient conditions. The n*1 block's Moore-Penrose inverse of summing two matrix of operators has been studied. Therefore, we present Hermitian solutions of the two equations of operators (Ti+Mi)X(Qi+mi)=Ui, i=1,2 with finding of it’s the necessary and sufficient conditions.
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| ISSN: | 2790-5233 2790-5241 |