| C*-代数上部分矩阵的投影补 |
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| 引用本文： | 成波. C*-代数上部分矩阵的投影补[J]. 内蒙古师范大学学报(自然科学版), 2007, 36(3): 262-264 |
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| 作者姓名： | 成波 |
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| 作者单位： | 西安电子科技大学,理学院,陕西,西安,710071;安康学院,数学系,陕西,安康,725000 |
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| 摘 要： | 在有单位元的C^＊代数上引入投影矩阵的概念，讨论了其性质，证明了C^＊代数上二阶矩阵成为投影矩阵的充分必要条件．在此基础上，研究了C^＊-代数上部分矩阵的投影补问题，得到两类二阶部分矩阵有投影补的充分必要条件．
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| 关 键 词： | C*-代数 投影矩阵 部分矩阵 补 投影补 |
| 文章编号： | 1001-8735（2007）03-0262-03 |
| 收稿时间： | 2006-11-24 |
| 修稿时间： | 2006-11-24 |
The Projective Completions of Partial Matrices over a C*-Algebra |
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| CHENG Bo. The Projective Completions of Partial Matrices over a C*-Algebra[J]. Journal of Inner Mongolia Normal University(Natural Science Edition), 2007, 36(3): 262-264 |
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| Authors: | CHENG Bo |
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| Abstract: | The concept of projective matix over an unital C*-algebra was introduced and its property discussed.A sufficient and necessary condition to determine a 2-order matrix over a unital C*-algebra was proved.On this base,the projective completions problem for two partial matrices was studied,and sufficient and necessary conditions for two partial matrices having projective completions were obtained. |
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| Keywords: | C*-algebra partial matrices projective matix completion projective completions |
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