| 保持算子截断的可加映射 |
| |
| 引用本文： | 姚洁,吉国兴. 保持算子截断的可加映射[J]. 数学研究及应用, 2022, 42(1): 89-94 |
| |
| 作者姓名： | 姚洁 吉国兴 |
| |
| 作者单位： | 陕西师范大学数学与统计学院, 陕西 西安 710119 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11771261). |
| |
| 摘 要： | Let H be a complex Hilbert space and B(H)the algebra of all bounded linear operators on H.An operator A is called the truncation of B in B(H)if A=PABPA*,where PA and PA*denote projections onto the closures of R(A)and R(A*),respectively.In this paper,we determine the structures of all additive surjective maps on B(H)preserving the truncation of operators in both directions.
|
| 关 键 词： | truncation of operator operator equation additive map PRESERVER |
| 收稿时间： | 2020-09-24 |
| 修稿时间： | 2021-04-27 |
Additive Maps Preserving the Truncation of Operators |
| |
| Jie YAO,Guoxing JI. Additive Maps Preserving the Truncation of Operators[J]. Journal of Mathematical Research with Applications, 2022, 42(1): 89-94 |
| |
| Authors: | Jie YAO Guoxing JI |
| |
| Affiliation: | School of Mathematics and Statistics, Shaanxi Normal University, Shaanxi 710119, P. R. China |
| |
| Abstract: | Let $mathcal{H}$ be a complex Hilbert space and $mathcal{B}(mathcal{H})$ the algebra of all bounded linear operators on $mathcal{H}$. An operator $A$ is called the truncation of $B$ in $mathcal B(mathcal H)$ if $A=P_{A}BP_{A^*}$, where $P_{A}$ and $P_{A^*}$ denote projections onto the closures of $R(A)$ and $R(A^*)$, respectively. In this paper, we determine the structures of all additive surjective maps on $mathcal{B}(mathcal{H})$ preserving the truncation of operators in both directions. |
| |
| Keywords: | truncation of operator operator equation additive map preserver |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
