| 一类特殊完全正多重线性映射 |
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| 引用本文： | 韩德广. 一类特殊完全正多重线性映射[J]. 曲阜师范大学学报, 1992, 18(3): 7-12 |
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| 作者姓名： | 韩德广 |
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| 作者单位： | 曲阜师范大学数学系 273165，山东省曲阜市 |
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| 基金项目： | 山东省自然科学基金资助课题 |
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| 摘 要： | 研究了C~*-代数上某类完全正多重线性映射与算子内积,C~*-代数表示的关系以及纯完全正多重线性映射的刻画,特别证明了纯性与不可约表示的等价性。
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| 关 键 词： | 完全正 多重线性映射 算子内积 |
A CLASS OF COMPLETELY POSITIVE MULTILINEAR OPERATORS |
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| Han Deguang. A CLASS OF COMPLETELY POSITIVE MULTILINEAR OPERATORS[J]. Journal of Qufu Normal University(Natural Science), 1992, 18(3): 7-12 |
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| Authors: | Han Deguang |
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| Affiliation: | Han Deguang Department of Mathematics,Qufu Normal University,273165,Qufu,Shandong,PRC |
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| Abstract: | In this paper,we investigate the relation between operator innerproduct and completely positive multilinear operators,the unique *-representa-tions of a special class of completely positive multilinear operators,the rela-tion between pure completely positive multilinear operators and the irreducible*-representations of C~*-algebras. |
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| Keywords: | completely positive multilinear operators operator inner product *-representations |
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