2×2上三角算子矩阵的点剩余谱扰动

Perturbation of point residual spectrum of 2×2 upper triangular operator matrices

研究2×2上三角算子矩阵的谱扰动。基于空间分解技巧,通过对点谱和剩余谱的细分得到了固有点剩余谱和可能点剩余谱的刻画,并进一步讨论了固有点谱、固有剩余谱和固有点剩余谱之间的关系。

Perturbation of the spectrum of 2 × 2 upper triangular operator matrices is studied. Base on the space decomposition technique, the descriptions of intrinsic and possible point residual spectra are obtained, in terms of the subdivisions of the point spectrum and residual spectrum. Moreover, the connections between the intrinsic point spectrum, intrinsic residual spectrum and intrinsic point residual spectrum are investigated.