有界线性算子的(R)性质及其紧摄动  

Property(R) and its compact perturbations for bounded linear operators

作　　者：景雨 曹小红 董炯[2] JING Yu;CAO Xiao-hong;DONG Jiong(School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China;Department of Mathematics,Changzhi University,Changzhi 046011,Shanxi,China)

机构地区：[1]陕西师范大学数学与统计学院,西安710119 [2]长治学院数学系,山西长治046011

出　　处：《兰州大学学报(自然科学版)》2025年第2期278-284,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(12101081);山西省基础研究计划项目(20210302124079)。

摘　　要：借助单值延拓性质,给出有界线性算子及其函数演算满足(R)性质的判定.讨论了(R)性质的摄动.We gave the sufficient and necessary conditions for which the property(R) holds for bounded linear operators and its functions by means of single valued extension property.We discussed the perturbation problems of property(R).

关 键 词：(R)性质 单值延拓性质 谱 

分 类 号：O177.2[理学—数学]