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线性算子的正逼近
Positive approximations on linear operators
【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.
【Abstract】 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.
【关键词】 线性算子;
正算子;
正逼近;
Cartesian分解;
Halmos正逼近;
【Key words】 linear operator; positive operator; positive approximation; Cartesian demcomposition; Halmos positive approximation;
【Key words】 linear operator; positive operator; positive approximation; Cartesian demcomposition; Halmos positive approximation;
【基金】 国家自然科学基金资助项目(10571115).
- 【文献出处】 兰州大学学报 ,Journal of Lanzhou University , 编辑部邮箱 ,2006年01期
- 【分类号】O177
- 【被引频次】1
- 【下载频次】68