Local convergence of spectra and pseudospectra
Local convergence of spectra and pseudospectra
复制标题
光谱和伪光谱的局部收敛
DOI：
10.4171/jst/222
复制
发表时间：
2016
影响因子：
1.1
通讯作者：
Sabine Bogli
中科院分区：
文献类型：
--
作者：
Sabine Bogli
我们证明了作用于不同Hilbert空间的线性算子序列在广义强预解意义下收敛到一个可能具有非空本质谱的算子的谱和伪谱的局部收敛结果。我们建立了极限本质谱外的局部谱精确度和极限本质ε-近谱之外的局部ε-伪谱精确度，并讨论了这两个概念的性质，包括扰动结果。
We prove local convergence results for the spectra and pseudospectra of sequences of linear operators acting in different Hilbert spaces and converging in generalised strong resolvent sense to an operator with possibly nonempty essential spectrum. We establish local spectral exactness outside the limiting essential spectrum, local ε-pseudospectral exactness outside the limiting essential ε-near spectrum, and discuss properties of these two notions including perturbation results.