| Hilbert空间中点投影到一流形上的误差估计 |
| |
| 引用本文： | 陈果良.Hilbert空间中点投影到一流形上的误差估计[J].华东师范大学学报(自然科学版),1995(3):26-31. |
| |
| 作者姓名： | 陈果良 |
| |
| 作者单位： | 华东师范大学数学系 |
| |
| 摘 要： | 设Ｈ１和Ｈ２是实或复域上的两个Ｈｉｌｂｅｒｔ空间，Ｔ是Ｈ１→Ｈ２具有闭值域的线性有界算子。本文分别考虑了Ｔ是单射、满射和零空间保持不变三种情况。给出了一点的投形到一个流形上的扰动分析和误差估计。
|
| 关 键 词： | 投影 流形 单射 误差估计 希尔伯特空间 点 |
On the Error Estimate for the Projection of a Point a Linear Manifold in Hilbert Spaces |
| |
| Chen Guoliang.On the Error Estimate for the Projection of a Point a Linear Manifold in Hilbert Spaces[J].Journal of East China Normal University(Natural Science),1995(3):26-31. |
| |
| Authors: | Chen Guoliang |
| |
| Abstract: | Set H1 and H2 be a Hilbert spaces over the same filed, and let T: H1-H2 be a bounded linear operator with closed range. This paper presents a perturbation analysis for the projection of a point onto a linear manifold in Hilbert spaces, when the operator T is injective or surjective.The error bounded for the solution under the assumption that the perturbation does not change the null space of the operator is obtained. |
| |
| Keywords: | projection manifold Hilbert space injective surjective perturbation analvsis error estimate |
| 本文献已被 CNKI 维普 等数据库收录！ |
