A note on Furuta type operator equation


Authors

Xiaolin Zeng - School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, P. R. China Jian Shi - College of Mathematics and Information Science, Hebei University, Baoding, 071002, P. R. China


Abstract

In this paper, we will show the existence of positive semidefinite solution of Furuta type operator equation \[\displaystyle\sum_{j=0}^{n-1}A^{j}XA^{n-j-1}=Y,\] where \(Y\) can be expressed by a comprehensive form.


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