有界线性算子和的B-Fredholm谱与B-Weyl谱

B-Fredholm and B-Weyl Spectra of the Sum of Two Bounded Linear Operators

研究了对于Banach空间上的两个有界线性算子,当其乘积满足可交换有限秩扰动或可交换幂有限秩扰动时,它们和的B-Fredholm谱及B-Weyl谱与相应谱的并集之间的关系。

For two bounded linear operators whose product satisfies commutative finite rank perturbations or commutative power finite rank perturbations on a Banach space,we investigate the relationship between the B-Fredholm and B-Weyl spectra of their sum and the union of the corresponding spectra.