有界线性算子的性质(Bab)及其摄动

Property( Bab) and perturbations for bounded linear operators

A.Gupta和N.Kashypa引入了性质(Bab)的概念,从而再次推广了Weyl型定理.继续讨论了性质(Bab)与其他Weyl型定理之间的关系,并探讨了它在可交换幂零算子、拟幂零算子、有限秩算子和Riesz算子摄动下的稳定性.

A.Gupta and N. Kashyap introduced the property （Bab）, which is an extension to Weyl type theorems. Studying the property （Bah） in connection with Weyl type theorems unceasingly, and considering its preservation under perturbations by commuting nilpotent, quasi-nilpotent, finite rank and Riesz operators.