| 保Schur(Fan)积的映射 |
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| 引用本文： | 张芳娟. 保Schur(Fan)积的映射[J]. 西安邮电学院学报, 2011, 16(2): 59-61 |
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| 作者姓名： | 张芳娟 |
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| 作者单位： | 西安邮电学院,理学院,陕西,西安,710121 |
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| 基金项目： | 国家自然科学基金资助项目，陕西省自然科学基础研究计划资助项目，西安邮电学院中青年基金项目 |
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| 摘 要： | 运用算子论方法,研究矩阵代数上保Schur(Fan)积的线性满射φ。可以证明,φ是一个置换算子(正(负)置换算子),从而得知,矩阵代数上保Schur积的线性满射是一个置换算子,保Fan积的线性满射是一个正(负)置换算子。
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| 关 键 词： | 保Schur积 保Fan积 置换算子 |
On preserving Schur(Fan)-product maps |
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| ZHANG Fang-juan. On preserving Schur(Fan)-product maps[J]. Journal of Xi'an Institute of Posts and Telecommunications, 2011, 16(2): 59-61 |
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| Authors: | ZHANG Fang-juan |
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| Affiliation: | ZHANG Fang-juan(School of Science,Xi'an University of Posts and Telecommunications,Xi'an 710121,China) |
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| Abstract: | With some methods in operator theory,the linear surjection map on matrix algebras which preserves Schur(Fan)-product is investigated.It can be proved that is a permutation operator(plus(minus) permutation operator).Thus,preserving Schur-product linear surjection map on matrix algebras is a permutation operator,and preserving Fan-product linear surjection map on matrix algebras is a plus(minus) permutation operator. |
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| Keywords: | preserving Schur-product preserving Fan-product permutation operator |
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