| C^＊—代数中的正逼近 |
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| 引用本文： | 曹怀信. C^＊—代数中的正逼近[J]. 西北大学学报(自然科学版), 1998, 28(5): 374-376 |
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| 作者姓名： | 曹怀信 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 讨论了Ｃ＊－代数中的正元逼近问题，研究了逼近度的一系列性质；应用Ｃ＊－代数的万有表示和Ｈａｌｍｏｓ关于正算子逼近的结果，证明了Ｃ＊－代数中的任一元都存在最佳正逼近并且给出了最佳正逼近的表达式。
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| 关 键 词： | C~＊－代数；正元；逼近 |
Approximation by Positive Elements in C * Algebras |
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| Cao Huaixin. Approximation by Positive Elements in C * Algebras[J]. Journal of Northwest University(Natural Science Edition), 1998, 28(5): 374-376 |
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| Authors: | Cao Huaixin |
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| Abstract: | The question on appoximation of a element in C * algebra by its positive elements is discussed and properties about the approximation degree are given.Using the universal representation of C * algebra and the results due to P.R.Halmos on approximation by positive operators in Hilbert space,the existence of best positive approximation(BPA) is proved and the formula of BPA is obtained. |
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| Keywords: | C * algebra positive element approximation |
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