%0 Journal Article
%T An application of grand Furuta inequality to a type of operator equation
%A Jian Shi
%J -
%D 2014
%R 10.14419/gjma.v2i4.3400
%X The existence of positive semidefinite solutions ofthe operator equation $\displaystyle\sum_{j=1}^{n}A^{n-j}XA^{j-1}=Y$ is investigated by applying grand Furuta inequality. If there exists positive semidefinite solutions of the operator equation, one of the special types of Y is obtained, which extends the related result before. Finally, an example is given based on our result. Keywords: grand Furuta inequality, operator equation, matrix equation, positive semidefinite operator.
%U https://www.sciencepubco.com/index.php/GJMA/article/view/3400