| 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 |
| Hilbert空间的正交分解及其应用 |
| Characterization of the Orthogonal Decomposition of the Hilbert Space and Application |
| 投稿时间：2000-01-17 |
| DOI：10.3770/j.issn:1000-341X.2002.04.016 |
| 中文关键词: |
| 英文关键词:Hilbert space orthogonal decomposition Riesz-representation saddle-point problem. |
| 基金项目: |
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| 摘要点击次数: 2228 |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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