论文标题
自偶会运算符的无间隙纯点光谱的稳定性
Stability of the gapless pure point spectrum of self-adjoint operators
论文作者
论文摘要
我们考虑在可分离的希尔伯特空间上的自动伴侣操作员$ t $，具有纯点和简单的频谱，并在有限点积累。明确的条件在$ t $的特征值和有限的扰动$ v $上说明，以确保$ t+v $的光谱性质的全球稳定性。
We consider a self-adjoint operator $T$ on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of $T$ and on the bounded perturbation $V$ ensuring the global stability of the spectral nature of $T+V$.
