| 套代数弱闭模中紧算子空间的等距映射 |
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| 引用本文： | 骆建文,鲁世杰. 套代数弱闭模中紧算子空间的等距映射[J]. 上海交通大学学报, 2003, 37(4): 541-543 |
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| 作者姓名： | 骆建文 鲁世杰 |
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| 作者单位： | 上海交通大学管理学院,上海,200052;浙江大学数学系,杭州,310027 |
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| 基金项目： | 国家自然科学基金资助项目 ( 70 2 710 3 9) |
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| 摘 要： | 利用算子的几何秩在线性等距映射下不变的性质研究了套代数弱闭模中紧算子空间的线性等距满映射,最后得到其空间实现形式．此法为以后研究其他算子空间或算子代数的等距提供了一条新的途径．
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| 关 键 词： | 套代数 弱闭模 紧算子空间 等距映射 |
| 文章编号： | 1006-2467(2003)04-0541-03 |
| 修稿时间： | 2002-01-29 |
Isometries of Compact Operators Spaces in Weakly Closed Modules of Nest Algebras |
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| LUO Jian wen ,LU Shi jie. Isometries of Compact Operators Spaces in Weakly Closed Modules of Nest Algebras[J]. Journal of Shanghai Jiaotong University, 2003, 37(4): 541-543 |
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| Authors: | LUO Jian wen LU Shi jie |
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| Affiliation: | LUO Jian wen 1,LU Shi jie 2 |
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| Abstract: | This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras, and obtained the expressions of the isometries. This method provides a way to investigate the onto isometries of other space of operators or operators algebras. |
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| Keywords: | nest algebras weakly closed modules compact operators spaces isometry |
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