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局部谱性质与摄动
引用本文:曾清平.局部谱性质与摄动[J].数学研究及应用,2015,35(2):211-214.
作者姓名:曾清平
作者单位:福建农林大学计算机与信息学院, 福建 福州 350002
基金项目:国家自然科学基金(Grant Nos.11401097; 11171066; 11201071; 11301077; 11301078).
摘    要:It is shown that local spectral properties such as the single-valued extension property, Dunford's property(C), Bishop's property(β), the decomposition property(δ), or decomposability are stable under commuting perturbations whose spectra are finite.

关 键 词:Local  spectral  property  perturbation  algebraic  operator
收稿时间:5/9/2014 12:00:00 AM
修稿时间:2014/10/13 0:00:00

Local Spectral Properties under Perturbations
Qingping ZENG.Local Spectral Properties under Perturbations[J].Journal of Mathematical Research with Applications,2015,35(2):211-214.
Authors:Qingping ZENG
Institution:College of Computer and Information Sciences, Fujian Agriculture and Forestry University, Fujian 350002, P. R. China
Abstract:It is shown that local spectral properties such as the single-valued extension property, Dunford's property $(C)$, Bishop's property $(\beta)$, the decomposition property $(\delta)$, or decomposability are stable under commuting perturbations whose spectra are finite.
Keywords:Local spectral property  perturbation  algebraic operator
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