摘要
结合算子理论的相关知识,将矩阵方程的某些结果推广到相应的算子方程上.讨论无限维Hilbert空间上算子方程Xs+A*X-tA=I(s>0,t>0)的正算子解及其解的范围.
Combining the operator theory, some results on matrix equation are extended to operator equation. In this paper, the operator equation X^s +A^* X^-tA = I (s〉0,t〉0) on the infinite dimensional Hilbert space is considered. The positive operator solutions of the equation are mainly discussed, and the location of the solutions is given.
出处
《江苏师范大学学报(自然科学版)》
CAS
2012年第4期24-28,共5页
Journal of Jiangsu Normal University:Natural Science Edition