| 算子张量积及C_2上的初等算子 |
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| 引用本文： | 侯晋川.算子张量积及C_2上的初等算子[J].数学学报,1995,38(4):467-474. |
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| 作者姓名： | 侯晋川 |
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| 作者单位： | 山西师范大学数学系 |
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| 摘 要： | 本文给出了形如的张量积算子成为自伴算子，Ｃ＿ｐ类算子，有限秩算子及一秩算子的充分必要条件，特别，作为应用，得到Ｈｉｌｂｅｒｔ－Ｓｃｈｍｉｄｔ类Ｃ＿２（Ｈ）上初等算子成为自伴算子，Ｃ＿ｐ类算子的充分必要条件．
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| 关 键 词： | 算子张量积，C＿p类算子，初等算子，自伴算子 |
| 收稿时间： | 1993-3-18 |
On the Tensor Products of Operators and the Elementary Operators on C_2 |
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| Hou Jinchuan.On the Tensor Products of Operators and the Elementary Operators on C_2[J].Acta Mathematica Sinica,1995,38(4):467-474. |
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| Authors: | Hou Jinchuan |
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| Institution: | Hou Jinchuan(Department of Mathematics,Shanxi Teachers University,Linfen 041004,China) |
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| Abstract: | In this paper the necessary and sufficient conditions are given for a tensor productoperator of the form to be selfadjoint,to be in the Schatten p-classwith,to be finite rank or rank-one operator, etc.In particular,as a application, thenecessary and sufficient conditions are abtained for an elementary operator restricted on C_2(H)to be selfadjoint or to be in the Schatten p-class. |
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| Keywords: | tensor products of operators Schatten p-classes elementary operators selfadjointoperators |
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