This paper discusses the stability of a kind of spectral property called property (R) under compact perturbations in the setting of Hilbert space. Necessary and sufficient conditions are given for such a spectral property to be invariant under compact perturbations.

中文翻译：

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紧摄动下的特性（R）

本文讨论了在希尔伯特空间环境中在紧凑扰动下一种称为性质（R）的光谱性质的稳定性。给出了在紧摄扰动下不变的这种光谱特性的必要和充分条件。