| Hilbert空间的正交分解及其应用 |
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| 引用本文： | 段火元.Hilbert空间的正交分解及其应用[J].数学研究及应用,2002,22(4):599-602. |
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| 作者姓名： | 段火元 |
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| 作者单位： | 中国科学院数学研究所,北京,100080 |
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| 摘 要： | 基于Riesz-表示算子,给出了实Hilbert内积空间按某种连续双线性泛函的正交分解的刻划,应用于鞍点变分问题,获得了解的分离及其强制型于问题.
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| 关 键 词： | 正交分解 Hilbert空间 Riesz－表示算子 鞍点变分问题 逼近 |
| 文章编号： | 1000-341X(2002)04-0599-04 |
| 收稿时间： | 2000/1/17 0:00:00 |
| 修稿时间： | 2000年1月17日 |
Characterization of the Orthogonal Decomposition of the Hilbert Space and Application |
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| DUAN Huo-yuan.Characterization of the Orthogonal Decomposition of the Hilbert Space and Application[J].Journal of Mathematical Research with Applications,2002,22(4):599-602. |
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| Authors: | DUAN Huo-yuan |
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| Institution: | Inst. of Math.; Chinese Academy of Science; Beijing; China |
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| Abstract: | This paper proposes a characterization of the orthogonal subspace of Hilbert space, where the orthogonal decomposition is derived from some continuous bilinear form. As an application, the solutions to saddle-point problems are decoupled, and as a result two coercive subproblems are obtained, which can be separately approximated. |
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| Keywords: | Hilbert space orthogonal decomposition Riesz-representation saddle-point problem |
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