Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$

Details 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 $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$

2011-09-02

arxiv.org/abs/1109.0450v1

Mathematics

Functional Analysis

Scientific paper

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}.

Affiliated with

Also associated with

No associations

Rating

Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Further development of positive semidefinite solutions of the operator equation $\sum_{j=1}^{n}A^{n-j}XA^{j-1}=B$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688034