| 两个可补子空间和的可补性 |
| |
| 引用本文： | 吴祝宁.两个可补子空间和的可补性[J].华侨大学学报(自然科学版),1999,20(1):15-17. |
| |
| 作者姓名： | 吴祝宁 |
| |
| 作者单位： | 华侨大学管理信息科学系 |
| |
| 摘 要： | 指出Ｂａｎａｃｈ空间Ｘ的两个可补子空间之和未必再是Ｘ的可补子空间，但当Ｐ和Ｑ都是Ｘ上连续线性投影算子且ＰＱ是严格奇异算子时，ＰＸ＋ＱＸ是可补的。进而推出有限人两两不可比的可补子空间之和是可补的。
|
| 关 键 词： | 可补子空间 投影算子 和 巴拿赫空间 可补性 |
The Complementarity of the Sum of Two Complemented Subspaces |
| |
| Wu Zhuning.The Complementarity of the Sum of Two Complemented Subspaces[J].Journal of Huaqiao University(Natural Science),1999,20(1):15-17. |
| |
| Authors: | Wu Zhuning |
| |
| Abstract: | As pointed by the author, the sum of two complemented subspaces of Banach space X may not be complemented space of X ; however, when P and Q are all continuous linear projection operators on X and PQ are strictly singular operators, PX+QX are complemented. As further inferred by the author, the sum of pairwisely incomparable and complemented subspaces limited in number is complemented. |
| |
| Keywords: | Banach space complemented subspace projection operator strictly singular operator sum completely incomparable |
| 本文献已被 CNKI 维普 等数据库收录！ |
