[1]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.[doi:10.11830/ISSN.1000-5013.1999.01.0015]
　Wu Zhuning.The Complementarity of the Sum of Two Complemented Subspaces[J].Journal of Huaqiao University(Natural Science),1999,20(1):15-17.[doi:10.11830/ISSN.1000-5013.1999.01.0015]
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两个可补子空间和的可补性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第20卷
期数:
1999年第1期
页码:
15-17
栏目:
出版日期:
1999-01-20

文章信息/Info

Title:
The Complementarity of the Sum of Two Complemented Subspaces
作者:
吴祝宁
华侨大学管理信息科学系
Author(s):
Wu Zhuning
关键词:
Banach空间;  可补子空间;  投影算子;  严格奇异算子;  和;  完全不可比
Keywords:
Banach space;  complemented subspace;  projection operator;  strictly singular operator;  sum;  completely incomparable
分类号:
O177.2
DOI:
10.11830/ISSN.1000-5013.1999.01.0015
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.进而推出有限个两两不可比的可补子空间之和是可补的.
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

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更新日期/Last Update: 2014-03-22