摘要
研究赋范线性空间中闭极大线性子空间的正交可补性.利用空间的对偶映射给出固定闭极大线性子空间至多存在一个正交补的充分必要条件,从而给出每个闭极大线性子空间至多存在一个正交补的几何刻画.
We study the orthogonally complemented property of closed maximal subspace in normed linear space, Necessary and sufficient conditions for a closed maximal subspace to have at most one orthogonal complent are given by means of the dual mapping. A geometric characteristic for every closed maximal subspace to have at most one orthogonal complement has been given in this paper.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第10期206-210,共5页
Mathematics in Practice and Theory
基金
黑龙江省教育厅科研基金
国家自然科学基金(10671049)
黑龙江省教育厅科学技术项目(1153248)
关键词
闭极大线性子空间
正交可补
唯一性
对偶映射
closed maximal linear subspace
orthogonal complement uniqueness
dual mapping
