Helton类算子及单值扩张性质（英文）  

THE HELTON CLASS OPERATORS AND THE SINGLE VALUED EXTENSION PROPERTY

作　　者：董志清[1] 曹小红[2] 赵海燕[2] 

机构地区：[1]重庆交通大学理学部,重庆400074 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《数学杂志》2014年第6期1033-1043,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(10726043)

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.In this paper, the stability of single valued extension property under compactperturbations for the Helton class operator is investigated. Also, 2 x 2 upper triangular operatormatrices for which the single valued extension property is stable under compact perturbationsare characterized. Using the characteristic of semi-Fredholm domain, we give the necessary andsufficient condition for 2 x 2 upper triangular operator matrices for which the single valued extensionproperty hold.

关 键 词：单值扩张性质 紧摄动 Helton类 

分 类 号：O177.2[理学—数学]