论文标题
一系列耗散扰动的光谱纳入和污染
Spectral Inclusion and Pollution for a Class of Dissipative Perturbations
论文作者
论文摘要
对于希尔伯特空间上$ t_0 +iγs_n$的线性操作员的序列证明了频谱包含和光谱污染结果，其中$ s_n $与身份操作员和$γ> 0 $强烈收敛。我们在抽象环境和更具体的Sturm-Liouville框架中工作。结果为计算光谱间隙中特征值的方法提供了严格的理由。
Spectral inclusion and spectral pollution results are proved for sequences of linear operators of the form $T_0 + i γs_n$ on a Hilbert space, where $s_n$ is strongly convergent to the identity operator and $γ> 0$. We work in both an abstract setting and a more concrete Sturm-Liouville framework. The results provide rigorous justification for a method of computing eigenvalues in spectral gaps.
