| 矩阵算子代数上的完全正映射 |
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| 引用本文： | 魏公明. 矩阵算子代数上的完全正映射[J]. 鲁东大学学报, 2000, 0(4) |
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| 作者姓名： | 魏公明 |
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| 作者单位： | 曲阜师范大学数学系!山东曲阜273165 |
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| 摘 要： | 证明了二阶矩阵 C* 代数之间 *同构在满足辛群作用不变性时可表示为 C* 代数间的两个 *同构的直和 ,同时给出了矩阵 C*代数的一些类似数值矩阵的性质 .通过证明完全正映射的一个类似于 Krein- Milman定理的性质 ,给出了一个纯的完全正映射延拓的存在性证明 .
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| 关 键 词： | 完全正映射 *-同构 端点 H~*代数 |
Completely positive maps on matrix operator algebras |
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| WEI Gong ming. Completely positive maps on matrix operator algebras[J]. Ludong University Journal (Natural Science Edition), 2000, 0(4) |
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| Authors: | WEI Gong ming |
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| Abstract: | It is proved that a * isomorphism between second order matrix C * algelas which satisfies symplectic group invariant conditions can be expressed as direct sum of two * isomorphism.Some properties of matrix C * algebras similar to scalar matrix are given.By proving a character of completely positive maps similar to Krein Milman theorem ,the existence of the extension of pure completely positive maps is proved. |
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| Keywords: | completely positive maps isomorphism extreme point H algebras |
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