算子方程正算子解的性质

Properties of the Positive Operator Solutions of the Operator Equations

利用算子理论的相关知识,讨论了无限维Hilbert空间中一类算子方程X^-s+∧^*X^l∧=B具有正算子解时算子A、B、X的范数以及谱半径之间的关系,并给出了算子方程X^-s+∧^*X^l∧=B具有正算子解时的一些性质.

To stuty the relations of operators A、B and X in the form of norm and spectral radius in the Hilbert space by using the operator theory when the operator equations X-s+A X tA=B have the positive solutions.Also,some properties of the positive operator solutions of the operator equations are derived.