| 一类新型非正规算子的谱分析 |
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| 引用本文： | 孙万贵.一类新型非正规算子的谱分析[J].数学学报,2007,50(5):1129-113. |
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| 作者姓名： | 孙万贵 |
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| 作者单位： | 西北大学经济管理学院,西安710069 |
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| 摘 要： | 本文引入了一类新型非正规算子,即具复谱的u-标算子.证明了该类算子具有Jordan型分解,讨论了u-标算子与标型谱算子的关系,并通过例子说明了该类算子的构造.
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| 关 键 词： | 具复谱的u-标算子 Jordan型分解 Hermite算子 标型谱算子 |
| 文章编号： | 0583-1431（2007）05-1129-06 |
| 收稿时间： | 2005-6-13 |
| 修稿时间： | 2005-06-13 |
Spectral Theory of a New Kind of Non-Normal Operators |
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| Wan Gui SUN.Spectral Theory of a New Kind of Non-Normal Operators[J].Acta Mathematica Sinica,2007,50(5):1129-113. |
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| Authors: | Wan Gui SUN |
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| Institution: | Wan Gui SUN School of Economics & Management,Northwest University,Xi'an 710069,P.R.China |
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| Abstract: | new kind of non-normal operators,the so-called u-scalar operators with complex spectra,is introduced.Such operators are proved to have Jordan-type decom- position.The relations between u-scalar operators with complex spectra and scalar- type spectral operators are discussed.And the construction and some examples of u-scalar operators with complex spectra are also given. |
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| Keywords: | u-scalar operator Jordan-type decomposition Hermitian operator spectral operator of scalar type |
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