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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. |
| 关键词: 单值扩张性质 紧摄动 Helton类 |
| DOI： |
| 分类号:O177.2 |
| 基金项目:Supported by National Natural Science Foundation of China(10726043). |
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| THE HELTON CLASS OPERATORS AND THE SINGLE VALUED EXTENSION PROPERTY |
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DONG Zhi-qing,CAO Xiao-hong,ZHAO Hai-yan
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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. |
| Key words: single valued extension property compact perturbation Helton class |
