| Helton类算子及单值扩张性质 |
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| 引用本文： | 董志清,曹小红,赵海燕.Helton类算子及单值扩张性质[J].数学杂志,2014,34(6):1033-1043. |
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| 作者姓名： | 董志清 曹小红 赵海燕 |
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| 作者单位： | 重庆交通大学理学部, 重庆 400074,陕西师范大学数学与信息科学学院, 陕西西安 710062,陕西师范大学数学与信息科学学院, 陕西西安 710062 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10726043). |
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| 摘 要： | 本文研究了Helton类算子在紧摄动下单值扩张性质的稳定性, 同时研究了2×2上三角算子矩阵在紧摄动下单值扩张性质的稳定性. 利用半Fredholm域的特点, 获得了2×2上三角算子矩阵具有单值扩张性质的稳定性的充分必要条件.
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| 关 键 词： | 单值扩张性质 紧摄动 Helton类 |
| 收稿时间： | 2013/1/4 0:00:00 |
| 修稿时间： | 2013/7/11 0:00:00 |
THE HELTON CLASS OPERATORS AND THE SINGLE VALUED EXTENSION PROPERTY |
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| DONG Zhi-qing,CAO Xiao-hong and ZHAO Hai-yan.THE HELTON CLASS OPERATORS AND THE SINGLE VALUED EXTENSION PROPERTY[J].Journal of Mathematics,2014,34(6):1033-1043. |
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| Authors: | DONG Zhi-qing CAO Xiao-hong and ZHAO Hai-yan |
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| Institution: | School of Science, Chongqing Jiaotong University, Chongqing 400074, China,College of Math. and Information Science, Shaanxi Normal University, Xi''an 710062, China and College of Math. and Information Science, Shaanxi Normal University, Xi''an 710062, China |
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| Abstract: | In this paper, the stability of single valued extension property under compact perturbations for the Helton class operator is investigated. Also, 2×2 upper triangular operator matrices for which the single valued extension property is stable under compact perturbations are characterized. Using the characteristic of semi-Fredholm domain, we give the necessary and sufficient condition for 2×2 upper triangular operator matrices for which the single valued extension property hold. |
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| Keywords: | single valued extension property compact perturbation Helton class |
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