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| k广义投影的谱刻画 | |
| 引用本文： | 段樱桃,段晓苗,杜鸿科.k广义投影的谱刻画[J].四川师范大学学报(自然科学版),2009,32(3). |
| 作者姓名： | 段樱桃 段晓苗 杜鸿科 |
| 作者单位： | 1. 乐山师范学院,数学系,四川,乐山,614004 2. 西安石油大学,石油工程学院,陕西,西安,710065 3. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
| 基金项目： | 四川省教育厅自然科学青年基金 |
| 摘 要： | 运用算子谱论的技巧,在无限维Hilbert空间上对k广义投影的谱进行刻画,得到k广义投影的充分必要条件,并推广了J. Benitez和N. Thome的结论(Linear Algebra Appl,2005,410:150-159.). |
| 关 键 词： | k广义投影 谱表示 正规算子 谱 |
Spectral Characterizations of k-Generalized Projections |
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| DUAN Ying-tao,DUAN Xiao-miao,DU Hong-ke.Spectral Characterizations of k-Generalized Projections[J].Journal of Sichuan Normal University(Natural Science),2009,32(3). | |
| Authors: | DUAN Ying-tao DUAN Xiao-miao DU Hong-ke |
| Institution: | 1.Department of Mathematics;Leshan Normal College;Leshan 614000;Sichuan;2.College of Petroleum and Engineering;Xi'an Petroleum University;Xi'an 710065;Shaanxi;3.College of Mathematics and Information Science;Shaanxi Normal University;Xi'an 710062;Shaanxi |
| Abstract: | In this paper,using the technique of operator theory,the spectral characterizations and the necessary and sufficient conditions of k-generalized projections are established on an infinite dimensional Hilbert space H.The conclusions of J.Benitez and N.Thome(Linear Algebra Appl,2005,410:150-159.) are extended. |
| Keywords: | k-Generalized projections Spectral representation Normal operator Spectrum |
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