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引用次数: 0
摘要
在无限维Hilbert空间中，算子方程X + A* X−t A = I(0 <60 t & #;1)被研究。给出了该方程正算子解存在的充分必要条件。并建立了正算子解的范围。
Studies on the positive operator solutions to a class of operator equation
In infinite dimensional Hilbert space,the positive operator solutions to the operator equation X + A* X−t A = I(0 < t < 1) are studied. Some necessary conditions and sufficient conditions for the existence of positive operator solutions to the equation are given. Also, the rang of the positive operator solutions is established.
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