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| 关于闭值域算子的几个注记 | |
| 引用本文： | 赵利光. 关于闭值域算子的几个注记[J]. 燕山大学学报, 2001, 25(1): 63-65 |
| 作者姓名： | 赵利光 |
| 作者单位： | 燕山大学经济管理学院, |
| 摘 要： | 以算子最小模为工具，证明了全体闭值域算子Γ(H)在希尔伯特空间B（H）中的稠密性。进一步讨论了闭值域算子和算子最小模的相互关系。在此基础上，给出了闭值域算子的一些充分和必要的条件。 |
| 关 键 词： | 闭值域 谱分解 可逆算子 聚点 |
| 修稿时间： | 1999-09-27 |
Some Remarks of the Operators with Closed Range |
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| Zhao Liguang. Some Remarks of the Operators with Closed Range[J]. Journal of Yanshan University, 2001, 25(1): 63-65 | |
| Authors: | Zhao Liguang |
| Abstract: | In this paper,the density of all the closed range operato rs in Hilbert Space is proved using the minimum modulus of the op erator.Further discussion about the relation between the operator and operator's minimum modulus is conducted.Then some sufficient condition s and necessary conditions are given. |
| Keywords: | closed range spectral decomposition inevitable operator accumulation point. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |