摘要
研究了Hilbert算子方程AXB =C的实正解.在A和B都为正算子的前提下,给出了该算子方程存在一个实正解的充要条件,将Cv'etkovic' -Ilic'最近的工作从有限矩阵的情形推广到了一般的Hilbert空间上的有界线性算子的情形.
We study the real positive solutions of the Hilbert space operator equation AXB = C. In the case that both A and B are positive, a necessary and sufficient condition for the existence of a real positive solution of such an equation is derived. A generalization of the recent work of Cvetkovic - Ilic is obtained.
出处
《上海师范大学学报（自然科学版）》
2008年第5期454-458,共5页
Journal of Shanghai Normal University(Natural Sciences)
基金
Shanghai Special Foundation for Outstanding Youth Teachers (RE660)
