摘要
根据值域的关系,分别研究了G-投影算子的线性组合是G-投影算子的充要条件,以及G-投影算子与G-压缩算子及G-正算子的关系,并将Hilbert空间中投影算子的某些结论推广到G-投影算子上。最后,举例说明了结论的有效性。
The necessary and sufficient conditions for the linear combinations of G-projectors to be a G-projector are given by the relation of their ranges.Moreover,the relations between G-projector,G-contractive operator and G-positive operator are characterized.Then,the corresponding results of the projector in Hilbert space are generalized to the G-projector.Finally,examples are given to illustrate the effectiveness of the conclusions.
作者
赵冰
海国君
阿拉坦仓
ZHAO Bing;HAI Guojun;Alatancang(School of Mathematical Sciences,Inner Mongolia University,Hohhot O10021,China;College of Mathematics Science,Inner Mongolia Normal University,Hohhot O10022,China)
出处
《内蒙古大学学报（自然科学版）》
CAS
北大核心
2023年第5期462-468,共7页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金项目(11761052)
内蒙古自然科学基金项目(2020ZD01)。
关键词
G-投影算子
G-压缩算子
线性组合
值域
G-projection operator
G-contractive operator
linear combination
range
