论文标题
在子空间扰动问题中统一无限期和半芬特扰动的处理
Unifying the treatment of indefinite and semidefinite perturbations in the subspace perturbation problem
论文作者
论文摘要
考虑了在加性有限的扰动下线性自相关算子的光谱子空间的变化。目的是估计与扰动和不受干扰的操作员的光谱的隔离部分相关的两个光谱投影的差异规范。半芬矿和一般的最新结果，不一定是半决赛，扰动统一到涵盖两种类型扰动的陈述，同时也允许某些以前未涵盖的扰动。
The variation of spectral subspaces for linear self-adjoint operators under an additive bounded perturbation is considered. The objective is to estimate the norm of the difference of two spectral projections associated with isolated parts of the spectrum of the perturbed and unperturbed operators. Recent results for semidefinite and general, not necessarily semidefinite, perturbations are unified to statements that cover both types of perturbations and, at the same time, also allow for certain perturbations that were not covered before.
