%0 Journal Article %T A note on Furuta type operator equation %A Zeng, Xiaolin %A Shi, Jian %J Journal of Mathematics and Computer Science %D 2018 %V 18 %N 1 %@ ISSN 2008-949X %F Zeng2018 %X 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. %9 journal article %R 10.22436/jmcs.018.01.10 %U http://dx.doi.org/10.22436/jmcs.018.01.10 %P 94--97