摘要
证明了闭的极大线性子空间是强正交可补的充分必要条件是,空间X是自反严格凸的.
We proved that every closed maximal linear subspace in a Banach space is strongly orthogonally complemented if and only if the space X is reflexive and strictly convex.
出处
《应用泛函分析学报》
CSCD
2007年第1期8-11,共4页
Acta Analysis Functionalis Applicata
基金
The research was supported by the Science Rreasch Grant (10553024) of Education Department of Heilongjiang Province and NSF Grant (10471032) of China
关键词
极大线性子空间
正交可补
BANACH空间
自反严格凸
maximal linear subspace
orthogonally complemented
Banach space
reflexive
strict convexity
