首页|Further development of positive semidefinite solutions of the operator
equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$
Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$
Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$
In \cite{Positive semidefinite solutions}, T. Furuta discusses the existence of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$. In this paper, we shall apply Grand Furuta inequality to study the operator equation. A generalized special type of $B$ is obtained due to \cite{Positive semidefinite solutions}.
Zongsheng Gao、Jian Shi
数学
Zongsheng Gao,Jian Shi.Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$[EB/OL].(2011-09-02)[2025-06-15].https://arxiv.org/abs/1109.0450.点此复制
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