摘要
讨论了二维Hilbert空间上线性算子正逼近的唯一性;对无限维Hilbert空间上存在唯一正逼近的线性算子进行了刻画;给出了一类线性算子不存在唯一正逼近的充分条件．
The uniqueness of positive approximation for linear operators on two-dimensional Hilbert space is discussed in detail. In an infinite-dimensional case, a characterization is given when the unique positive approximation of a linear operator exists. Finally, a sufficient condition for some linear operators is presented if their unique positive approximations do not exist.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期95-97,共3页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金资助项目(10571115).
关键词
线性算子
正算子
正逼近
Cartesian分解
Halmos正逼近
linear operator
positive operator
positive approximation
Cartesian demcomposition
Halmos positive approximation
