摘要
利用算子矩阵分块技巧和算子的广义逆,研究了复Hilbert空间上广义投影和超广义投影算子的性质,给出了它们的一些等价刻画.
By using the block operator matrix technique and generalized inverses of an operator, we research the properties and give some equivalent characterizations of generalized projectors and hypergeneralized projectors on the complex Hilbert spaces.
作者
宋显花
Song Xianhua(College of Mathematics and Information Science ,Shaanxi Normal University, Xi＇an 710119, China College of Mathematics and Statistics, QingHai Normal University, Xining 810008, China)
出处
《纯粹数学与应用数学》
2017年第3期230-240,共11页
Pure and Applied Mathematics
基金
国家自然科学基金(11371233)
关键词
广义投影
超广义投影
广义逆
群逆
generalized projector
hypergeneralized projector
generalized inverse
group inverse
