| 关于算子正矩阵 |
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| 引用本文： | 侯晋川.关于算子正矩阵[J].系统科学与数学,1994,14(3):252-267. |
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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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| 基金项目： | 国家自然科学基金,山西省自然科学基金 |
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| 摘 要： | 关于算子正矩阵侯晋川，高明杵（山西师范大学数学系，临汾０４１００４）基金项目：国家自然科学基金、山西省自然科学基金资助课题１９９２年３月１９日收到．由于应用的广泛性，人们对于寻求块方阵（）为半正定矩阵的（充分或必要）条件一直很感兴趣，且已获得许多深刻...
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ON THE POSITIVE MATRICES OF OPERATORS |
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| HOU JIN-CHUAN,GAO MING CHU.ON THE POSITIVE MATRICES OF OPERATORS[J].Journal of Systems Science and Mathematical Sciences,1994,14(3):252-267. |
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| Authors: | HOU JIN-CHUAN GAO MING CHU |
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| Institution: | (1)Department of Mathematics, Shanxi Teacher's University, Linfen 041004;(2)Department of Mathematics, Shanxi Teacher's University, Linfen 041004 |
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| Abstract: | In this paper, we give some new necessary and sufficient conditions,for a matrix,whose coefficients are in C*-algebra or are Hilbert space operators, to be: positive.And apply them to get the positive completion of matrices with some coefficient.sunknown and the computation formulas for the square root and the Moors-Penrosegeneralized inverse of operator matrixes. |
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