论文标题
关于伪pecterra的Hausdorff-Convergence的注释
A note on Hausdorff-convergence of pseudospectra
论文作者
论文摘要
对于Banach空间上有界的线性操作员,我们研究了Hausdorff距离的光谱和伪谱的近似。我们在适当的光谱量的点收敛性方面提供了足够和必要的条件。
For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in terms of pointwise convergence of appropriate spectral quantities.