局部谱性质与摄动

Local Spectral Properties under Perturbations

中文关键词:  局部谱性质  摄动  代数算子

英文关键词:Local spectral property  perturbation  algebraic operator

中文摘要:

      本文证明了单值扩张性, Dunford性质$(C)$, Bishop性质$(\beta)$,可分解性质$(\delta)$和可分解性质等局部谱性质在谱有限的交换摄动下是稳定的.

英文摘要:

      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.