| 两类算子方程有解的充要条件 |
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| 引用本文： | 任秀敏 陈志. 两类算子方程有解的充要条件[J]. 宁夏大学学报(自然科学版), 1993, 14(4): 18-20,80 |
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| 作者姓名： | 任秀敏 陈志 |
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| 作者单位： | 宁夏大学数学系(任秀敏)，宁夏大学数学系(陈志) |
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| 摘 要： | 本文研究定义于局部凸空间X而取值分别在Hilbert空间Y和X共轭空间X~*的两类算子方程的解的存在性问题,给出了存在解的充分必要条件。
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| 关 键 词： | 算子方程 解 集值映象 线性空间 |
A Neccessary and Sufficient Condition for the Existence of Solutions to Two Classes of Operator Equations |
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| Ren Xiumin Chen Zhi. A Neccessary and Sufficient Condition for the Existence of Solutions to Two Classes of Operator Equations[J]. Journal of Ningxia University(Natural Science Edition), 1993, 14(4): 18-20,80 |
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| Authors: | Ren Xiumin Chen Zhi |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, two kinds of operator equation F(x)= with F defined on a locally Convex topological vector space X and taking its value in a Hilbert space Y and the dual space X of X separately was studied, the necessary and sufficient condition for the existence of solutions is given in our main theorems |
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| Keywords: | operator equation set-valued map ralatively open set. |
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